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Finding the Fourth Proportional to 9,257.49, 12,775.28 and 5,008.53

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Solution

The fourth proportional to 9,257.49, 12,775.28 and 5,008.53 is: 6,911.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.49 : 12,775.28 = 5,008.53 : x
  2. Step 2: Convert to fraction form
    9,257.49/12,775.28 = 5,008.53/x
  3. Step 3: Cross multiply
    9,257.49x = 12,775.28 × 5,008.53
  4. Step 4: Simplify right side
    9,257.49x = 63,985,348.10
  5. Step 5: Solve for x
    x = 63,985,348.10/9,257.49
  6. Step 6: Final answer
    x = 6,911.74

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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.