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Finding the Fourth Proportional to 6,589.47, 9,888.10 and 2,432.37

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Solution

The fourth proportional to 6,589.47, 9,888.10 and 2,432.37 is: 3,649.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.47 : 9,888.10 = 2,432.37 : x
  2. Step 2: Convert to fraction form
    6,589.47/9,888.10 = 2,432.37/x
  3. Step 3: Cross multiply
    6,589.47x = 9,888.10 × 2,432.37
  4. Step 4: Simplify right side
    6,589.47x = 24,051,456.19
  5. Step 5: Solve for x
    x = 24,051,456.19/6,589.47
  6. Step 6: Final answer
    x = 3,649.99

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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.