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Finding the Fourth Proportional to 9,600.30, 14,402.03 and 3,024.90

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Solution

The fourth proportional to 9,600.30, 14,402.03 and 3,024.90 is: 4,537.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.30 : 14,402.03 = 3,024.90 : x
  2. Step 2: Convert to fraction form
    9,600.30/14,402.03 = 3,024.90/x
  3. Step 3: Cross multiply
    9,600.30x = 14,402.03 × 3,024.90
  4. Step 4: Simplify right side
    9,600.30x = 43,564,685.42
  5. Step 5: Solve for x
    x = 43,564,685.42/9,600.30
  6. Step 6: Final answer
    x = 4,537.85

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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.