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Finding the Fourth Proportional to 9,277.88, 12,805.25 and 7,257.29

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Solution

The fourth proportional to 9,277.88, 12,805.25 and 7,257.29 is: 10,016.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.88 : 12,805.25 = 7,257.29 : x
  2. Step 2: Convert to fraction form
    9,277.88/12,805.25 = 7,257.29/x
  3. Step 3: Cross multiply
    9,277.88x = 12,805.25 × 7,257.29
  4. Step 4: Simplify right side
    9,277.88x = 92,931,312.46
  5. Step 5: Solve for x
    x = 92,931,312.46/9,277.88
  6. Step 6: Final answer
    x = 10,016.44

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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.