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Finding the Fourth Proportional to 9,124.34, 12,593.68 and 5,589.50

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Solution

The fourth proportional to 9,124.34, 12,593.68 and 5,589.50 is: 7,714.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.34 : 12,593.68 = 5,589.50 : x
  2. Step 2: Convert to fraction form
    9,124.34/12,593.68 = 5,589.50/x
  3. Step 3: Cross multiply
    9,124.34x = 12,593.68 × 5,589.50
  4. Step 4: Simplify right side
    9,124.34x = 70,392,297.42
  5. Step 5: Solve for x
    x = 70,392,297.42/9,124.34
  6. Step 6: Final answer
    x = 7,714.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.