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Finding the Fourth Proportional to 9,589.66, 14,380.36 and 3,347.80

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Solution

The fourth proportional to 9,589.66, 14,380.36 and 3,347.80 is: 5,020.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.66 : 14,380.36 = 3,347.80 : x
  2. Step 2: Convert to fraction form
    9,589.66/14,380.36 = 3,347.80/x
  3. Step 3: Cross multiply
    9,589.66x = 14,380.36 × 3,347.80
  4. Step 4: Simplify right side
    9,589.66x = 48,142,569.21
  5. Step 5: Solve for x
    x = 48,142,569.21/9,589.66
  6. Step 6: Final answer
    x = 5,020.26

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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.