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Finding the Fourth Proportional to 9,589.59, 14,384.05 and 3,349.58

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Solution

The fourth proportional to 9,589.59, 14,384.05 and 3,349.58 is: 5,024.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.59 : 14,384.05 = 3,349.58 : x
  2. Step 2: Convert to fraction form
    9,589.59/14,384.05 = 3,349.58/x
  3. Step 3: Cross multiply
    9,589.59x = 14,384.05 × 3,349.58
  4. Step 4: Simplify right side
    9,589.59x = 48,180,553.79
  5. Step 5: Solve for x
    x = 48,180,553.79/9,589.59
  6. Step 6: Final answer
    x = 5,024.26

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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.