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Finding the Fourth Proportional to 9,160.29, 12,646.87 and 7,031.75

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Solution

The fourth proportional to 9,160.29, 12,646.87 and 7,031.75 is: 9,708.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.29 : 12,646.87 = 7,031.75 : x
  2. Step 2: Convert to fraction form
    9,160.29/12,646.87 = 7,031.75/x
  3. Step 3: Cross multiply
    9,160.29x = 12,646.87 × 7,031.75
  4. Step 4: Simplify right side
    9,160.29x = 88,929,547.31
  5. Step 5: Solve for x
    x = 88,929,547.31/9,160.29
  6. Step 6: Final answer
    x = 9,708.16

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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.