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Finding the Fourth Proportional to 9,797,774.40, 14,678,946.90 and 8,380,598.40

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Solution

The fourth proportional to 9,797,774.40, 14,678,946.90 and 8,380,598.40 is: 12,555,745.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797,774.40 : 14,678,946.90 = 8,380,598.40 : x
  2. Step 2: Convert to fraction form
    9,797,774.40/14,678,946.90 = 8,380,598.40/x
  3. Step 3: Cross multiply
    9,797,774.40x = 14,678,946.90 × 8,380,598.40
  4. Step 4: Simplify right side
    9,797,774.40x = 123,018,358,903,824.97
  5. Step 5: Solve for x
    x = 123,018,358,903,824.97/9,797,774.40
  6. Step 6: Final answer
    x = 12,555,745.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.