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Finding the Fourth Proportional to 9,432.70, 14,132.85 and 6,144.10

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Solution

The fourth proportional to 9,432.70, 14,132.85 and 6,144.10 is: 9,205.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432.70 : 14,132.85 = 6,144.10 : x
  2. Step 2: Convert to fraction form
    9,432.70/14,132.85 = 6,144.10/x
  3. Step 3: Cross multiply
    9,432.70x = 14,132.85 × 6,144.10
  4. Step 4: Simplify right side
    9,432.70x = 86,833,643.69
  5. Step 5: Solve for x
    x = 86,833,643.69/9,432.70
  6. Step 6: Final answer
    x = 9,205.60

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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.