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Finding the Fourth Proportional to 9,432.55, 14,148.77 and 2,412.55

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Solution

The fourth proportional to 9,432.55, 14,148.77 and 2,412.55 is: 3,618.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432.55 : 14,148.77 = 2,412.55 : x
  2. Step 2: Convert to fraction form
    9,432.55/14,148.77 = 2,412.55/x
  3. Step 3: Cross multiply
    9,432.55x = 14,148.77 × 2,412.55
  4. Step 4: Simplify right side
    9,432.55x = 34,134,621.09
  5. Step 5: Solve for x
    x = 34,134,621.09/9,432.55
  6. Step 6: Final answer
    x = 3,618.81

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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.