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Finding the Fourth Proportional to 9,032.72, 12,465.65 and 5,053.60

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Solution

The fourth proportional to 9,032.72, 12,465.65 and 5,053.60 is: 6,974.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032.72 : 12,465.65 = 5,053.60 : x
  2. Step 2: Convert to fraction form
    9,032.72/12,465.65 = 5,053.60/x
  3. Step 3: Cross multiply
    9,032.72x = 12,465.65 × 5,053.60
  4. Step 4: Simplify right side
    9,032.72x = 62,996,352.41
  5. Step 5: Solve for x
    x = 62,996,352.41/9,032.72
  6. Step 6: Final answer
    x = 6,974.24

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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.