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Finding the Fourth Proportional to 9,257.59, 13,868.76 and 5,736.52

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Solution

The fourth proportional to 9,257.59, 13,868.76 and 5,736.52 is: 8,593.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.59 : 13,868.76 = 5,736.52 : x
  2. Step 2: Convert to fraction form
    9,257.59/13,868.76 = 5,736.52/x
  3. Step 3: Cross multiply
    9,257.59x = 13,868.76 × 5,736.52
  4. Step 4: Simplify right side
    9,257.59x = 79,558,349.77
  5. Step 5: Solve for x
    x = 79,558,349.77/9,257.59
  6. Step 6: Final answer
    x = 8,593.86

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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.