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Finding the Fourth Proportional to 9,589.55, 14,377.97 and 4,592.66

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Solution

The fourth proportional to 9,589.55, 14,377.97 and 4,592.66 is: 6,885.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.55 : 14,377.97 = 4,592.66 : x
  2. Step 2: Convert to fraction form
    9,589.55/14,377.97 = 4,592.66/x
  3. Step 3: Cross multiply
    9,589.55x = 14,377.97 × 4,592.66
  4. Step 4: Simplify right side
    9,589.55x = 66,033,127.70
  5. Step 5: Solve for x
    x = 66,033,127.70/9,589.55
  6. Step 6: Final answer
    x = 6,885.95

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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.