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Finding the Fourth Proportional to 9,257.61, 12,775.36 and 5,278.78

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Solution

The fourth proportional to 9,257.61, 12,775.36 and 5,278.78 is: 7,284.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.61 : 12,775.36 = 5,278.78 : x
  2. Step 2: Convert to fraction form
    9,257.61/12,775.36 = 5,278.78/x
  3. Step 3: Cross multiply
    9,257.61x = 12,775.36 × 5,278.78
  4. Step 4: Simplify right side
    9,257.61x = 67,438,314.86
  5. Step 5: Solve for x
    x = 67,438,314.86/9,257.61
  6. Step 6: Final answer
    x = 7,284.64

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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.