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Finding the Fourth Proportional to 9,715.80, 14,573.70 and 9,059.70

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Solution

The fourth proportional to 9,715.80, 14,573.70 and 9,059.70 is: 13,589.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.80 : 14,573.70 = 9,059.70 : x
  2. Step 2: Convert to fraction form
    9,715.80/14,573.70 = 9,059.70/x
  3. Step 3: Cross multiply
    9,715.80x = 14,573.70 × 9,059.70
  4. Step 4: Simplify right side
    9,715.80x = 132,033,349.89
  5. Step 5: Solve for x
    x = 132,033,349.89/9,715.80
  6. Step 6: Final answer
    x = 13,589.55

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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.