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Finding the Fourth Proportional to 9,257.16, 13,876.52 and 5,972.56

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Solution

The fourth proportional to 9,257.16, 13,876.52 and 5,972.56 is: 8,952.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.16 : 13,876.52 = 5,972.56 : x
  2. Step 2: Convert to fraction form
    9,257.16/13,876.52 = 5,972.56/x
  3. Step 3: Cross multiply
    9,257.16x = 13,876.52 × 5,972.56
  4. Step 4: Simplify right side
    9,257.16x = 82,878,322.76
  5. Step 5: Solve for x
    x = 82,878,322.76/9,257.16
  6. Step 6: Final answer
    x = 8,952.89

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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.