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Finding the Fourth Proportional to 9,648.20, 14,450.70 and 9,432.20

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Solution

The fourth proportional to 9,648.20, 14,450.70 and 9,432.20 is: 14,127.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.20 : 14,450.70 = 9,432.20 : x
  2. Step 2: Convert to fraction form
    9,648.20/14,450.70 = 9,432.20/x
  3. Step 3: Cross multiply
    9,648.20x = 14,450.70 × 9,432.20
  4. Step 4: Simplify right side
    9,648.20x = 136,301,892.54
  5. Step 5: Solve for x
    x = 136,301,892.54/9,648.20
  6. Step 6: Final answer
    x = 14,127.18

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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.