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Finding the Fourth Proportional to 9,600.30, 13,252.20 and 9,288.90

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Solution

The fourth proportional to 9,600.30, 13,252.20 and 9,288.90 is: 12,822.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.30 : 13,252.20 = 9,288.90 : x
  2. Step 2: Convert to fraction form
    9,600.30/13,252.20 = 9,288.90/x
  3. Step 3: Cross multiply
    9,600.30x = 13,252.20 × 9,288.90
  4. Step 4: Simplify right side
    9,600.30x = 123,098,360.58
  5. Step 5: Solve for x
    x = 123,098,360.58/9,600.30
  6. Step 6: Final answer
    x = 12,822.35

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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.