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Finding the Fourth Proportional to 9,032.66, 12,465.24 and 5,447.60

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Solution

The fourth proportional to 9,032.66, 12,465.24 and 5,447.60 is: 7,517.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032.66 : 12,465.24 = 5,447.60 : x
  2. Step 2: Convert to fraction form
    9,032.66/12,465.24 = 5,447.60/x
  3. Step 3: Cross multiply
    9,032.66x = 12,465.24 × 5,447.60
  4. Step 4: Simplify right side
    9,032.66x = 67,905,579.10
  5. Step 5: Solve for x
    x = 67,905,579.10/9,032.66
  6. Step 6: Final answer
    x = 7,517.79

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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.