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Finding the Fourth Proportional to 9,432.91, 14,148.15 and 4,495.15

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Solution

The fourth proportional to 9,432.91, 14,148.15 and 4,495.15 is: 6,742.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432.91 : 14,148.15 = 4,495.15 : x
  2. Step 2: Convert to fraction form
    9,432.91/14,148.15 = 4,495.15/x
  3. Step 3: Cross multiply
    9,432.91x = 14,148.15 × 4,495.15
  4. Step 4: Simplify right side
    9,432.91x = 63,598,056.47
  5. Step 5: Solve for x
    x = 63,598,056.47/9,432.91
  6. Step 6: Final answer
    x = 6,742.15

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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.