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Finding the Fourth Proportional to 9,032.52, 12,464.96 and 5,053.68

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Solution

The fourth proportional to 9,032.52, 12,464.96 and 5,053.68 is: 6,974.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032.52 : 12,464.96 = 5,053.68 : x
  2. Step 2: Convert to fraction form
    9,032.52/12,464.96 = 5,053.68/x
  3. Step 3: Cross multiply
    9,032.52x = 12,464.96 × 5,053.68
  4. Step 4: Simplify right side
    9,032.52x = 62,993,919.05
  5. Step 5: Solve for x
    x = 62,993,919.05/9,032.52
  6. Step 6: Final answer
    x = 6,974.12

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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.