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Finding the Fourth Proportional to 9,612.38, 13,260.92 and 6,025.16

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Solution

The fourth proportional to 9,612.38, 13,260.92 and 6,025.16 is: 8,312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.38 : 13,260.92 = 6,025.16 : x
  2. Step 2: Convert to fraction form
    9,612.38/13,260.92 = 6,025.16/x
  3. Step 3: Cross multiply
    9,612.38x = 13,260.92 × 6,025.16
  4. Step 4: Simplify right side
    9,612.38x = 79,899,164.75
  5. Step 5: Solve for x
    x = 79,899,164.75/9,612.38
  6. Step 6: Final answer
    x = 8,312.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.