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Finding the Fourth Proportional to 6,032.52, 9,043.27 and 4,470.64

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Solution

The fourth proportional to 6,032.52, 9,043.27 and 4,470.64 is: 6,701.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032.52 : 9,043.27 = 4,470.64 : x
  2. Step 2: Convert to fraction form
    6,032.52/9,043.27 = 4,470.64/x
  3. Step 3: Cross multiply
    6,032.52x = 9,043.27 × 4,470.64
  4. Step 4: Simplify right side
    6,032.52x = 40,429,204.59
  5. Step 5: Solve for x
    x = 40,429,204.59/6,032.52
  6. Step 6: Final answer
    x = 6,701.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.