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Finding the Fourth Proportional to 9,784,855.40, 14,672,034.30 and 4,098,655.40

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Solution

The fourth proportional to 9,784,855.40, 14,672,034.30 and 4,098,655.40 is: 6,145,784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784,855.40 : 14,672,034.30 = 4,098,655.40 : x
  2. Step 2: Convert to fraction form
    9,784,855.40/14,672,034.30 = 4,098,655.40/x
  3. Step 3: Cross multiply
    9,784,855.40x = 14,672,034.30 × 4,098,655.40
  4. Step 4: Simplify right side
    9,784,855.40x = 60,135,612,612,680.22
  5. Step 5: Solve for x
    x = 60,135,612,612,680.22/9,784,855.40
  6. Step 6: Final answer
    x = 6,145,784.50

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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.