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Finding the Fourth Proportional to 9,032.72, 12,468.30 and 6,209.44

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Solution

The fourth proportional to 9,032.72, 12,468.30 and 6,209.44 is: 8,571.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032.72 : 12,468.30 = 6,209.44 : x
  2. Step 2: Convert to fraction form
    9,032.72/12,468.30 = 6,209.44/x
  3. Step 3: Cross multiply
    9,032.72x = 12,468.30 × 6,209.44
  4. Step 4: Simplify right side
    9,032.72x = 77,421,160.75
  5. Step 5: Solve for x
    x = 77,421,160.75/9,032.72
  6. Step 6: Final answer
    x = 8,571.19

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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.