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Finding the Fourth Proportional to 6,985.36, 9,641.10 and 4,332.16

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Solution

The fourth proportional to 6,985.36, 9,641.10 and 4,332.16 is: 5,979.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.36 : 9,641.10 = 4,332.16 : x
  2. Step 2: Convert to fraction form
    6,985.36/9,641.10 = 4,332.16/x
  3. Step 3: Cross multiply
    6,985.36x = 9,641.10 × 4,332.16
  4. Step 4: Simplify right side
    6,985.36x = 41,766,787.78
  5. Step 5: Solve for x
    x = 41,766,787.78/6,985.36
  6. Step 6: Final answer
    x = 5,979.19

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