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Finding the Fourth Proportional to 9,257.24, 12,776.14 and 6,073.18

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Solution

The fourth proportional to 9,257.24, 12,776.14 and 6,073.18 is: 8,381.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.24 : 12,776.14 = 6,073.18 : x
  2. Step 2: Convert to fraction form
    9,257.24/12,776.14 = 6,073.18/x
  3. Step 3: Cross multiply
    9,257.24x = 12,776.14 × 6,073.18
  4. Step 4: Simplify right side
    9,257.24x = 77,591,782.12
  5. Step 5: Solve for x
    x = 77,591,782.12/9,257.24
  6. Step 6: Final answer
    x = 8,381.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.