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Finding the Fourth Proportional to 9,011.76, 12,434.96 and 5,032.32

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Solution

The fourth proportional to 9,011.76, 12,434.96 and 5,032.32 is: 6,943.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,011.76 : 12,434.96 = 5,032.32 : x
  2. Step 2: Convert to fraction form
    9,011.76/12,434.96 = 5,032.32/x
  3. Step 3: Cross multiply
    9,011.76x = 12,434.96 × 5,032.32
  4. Step 4: Simplify right side
    9,011.76x = 62,576,697.91
  5. Step 5: Solve for x
    x = 62,576,697.91/9,011.76
  6. Step 6: Final answer
    x = 6,943.89

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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.