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Finding the Fourth Proportional to 9,711.45, 14,555.00 and 4,158.29

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Solution

The fourth proportional to 9,711.45, 14,555.00 and 4,158.29 is: 6,232.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.45 : 14,555.00 = 4,158.29 : x
  2. Step 2: Convert to fraction form
    9,711.45/14,555.00 = 4,158.29/x
  3. Step 3: Cross multiply
    9,711.45x = 14,555.00 × 4,158.29
  4. Step 4: Simplify right side
    9,711.45x = 60,523,817.38
  5. Step 5: Solve for x
    x = 60,523,817.38/9,711.45
  6. Step 6: Final answer
    x = 6,232.21

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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.