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Finding the Fourth Proportional to 9,031.68, 12,464.64 and 7,269.12

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Solution

The fourth proportional to 9,031.68, 12,464.64 and 7,269.12 is: 10,032.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.68 : 12,464.64 = 7,269.12 : x
  2. Step 2: Convert to fraction form
    9,031.68/12,464.64 = 7,269.12/x
  3. Step 3: Cross multiply
    9,031.68x = 12,464.64 × 7,269.12
  4. Step 4: Simplify right side
    9,031.68x = 90,606,963.92
  5. Step 5: Solve for x
    x = 90,606,963.92/9,031.68
  6. Step 6: Final answer
    x = 10,032.13

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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.