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Finding the Fourth Proportional to 9,031.92, 12,462.90 and 5,256.32

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Solution

The fourth proportional to 9,031.92, 12,462.90 and 5,256.32 is: 7,253.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.92 : 12,462.90 = 5,256.32 : x
  2. Step 2: Convert to fraction form
    9,031.92/12,462.90 = 5,256.32/x
  3. Step 3: Cross multiply
    9,031.92x = 12,462.90 × 5,256.32
  4. Step 4: Simplify right side
    9,031.92x = 65,508,928.21
  5. Step 5: Solve for x
    x = 65,508,928.21/9,031.92
  6. Step 6: Final answer
    x = 7,253.05

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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.