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Finding the Fourth Proportional to 9,589.44, 14,385.60 and 3,432

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Solution

The fourth proportional to 9,589.44, 14,385.60 and 3,432 is: 5,148.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.44 : 14,385.60 = 3,432 : x
  2. Step 2: Convert to fraction form
    9,589.44/14,385.60 = 3,432/x
  3. Step 3: Cross multiply
    9,589.44x = 14,385.60 × 3,432
  4. Step 4: Simplify right side
    9,589.44x = 49,371,379.20
  5. Step 5: Solve for x
    x = 49,371,379.20/9,589.44
  6. Step 6: Final answer
    x = 5,148.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.