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Finding the Fourth Proportional to 9,078.10, 12,722.30 and 9,078.10

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Solution

The fourth proportional to 9,078.10, 12,722.30 and 9,078.10 is: 12,722.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,078.10 : 12,722.30 = 9,078.10 : x
  2. Step 2: Convert to fraction form
    9,078.10/12,722.30 = 9,078.10/x
  3. Step 3: Cross multiply
    9,078.10x = 12,722.30 × 9,078.10
  4. Step 4: Simplify right side
    9,078.10x = 115,494,311.63
  5. Step 5: Solve for x
    x = 115,494,311.63/9,078.10
  6. Step 6: Final answer
    x = 12,722.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.