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Finding the Fourth Proportional to 9,032.66, 12,465.56 and 5,053.54

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Solution

The fourth proportional to 9,032.66, 12,465.56 and 5,053.54 is: 6,974.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032.66 : 12,465.56 = 5,053.54 : x
  2. Step 2: Convert to fraction form
    9,032.66/12,465.56 = 5,053.54/x
  3. Step 3: Cross multiply
    9,032.66x = 12,465.56 × 5,053.54
  4. Step 4: Simplify right side
    9,032.66x = 62,995,118.49
  5. Step 5: Solve for x
    x = 62,995,118.49/9,032.66
  6. Step 6: Final answer
    x = 6,974.15

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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.