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Finding the Fourth Proportional to 6,032.38, 9,038.71 and 5,801.72

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Solution

The fourth proportional to 6,032.38, 9,038.71 and 5,801.72 is: 8,693.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032.38 : 9,038.71 = 5,801.72 : x
  2. Step 2: Convert to fraction form
    6,032.38/9,038.71 = 5,801.72/x
  3. Step 3: Cross multiply
    6,032.38x = 9,038.71 × 5,801.72
  4. Step 4: Simplify right side
    6,032.38x = 52,440,050.73
  5. Step 5: Solve for x
    x = 52,440,050.73/6,032.38
  6. Step 6: Final answer
    x = 8,693.09

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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.