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Finding the Fourth Proportional to 9,170.92, 12,655.78 and 4,978.92

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Solution

The fourth proportional to 9,170.92, 12,655.78 and 4,978.92 is: 6,870.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.92 : 12,655.78 = 4,978.92 : x
  2. Step 2: Convert to fraction form
    9,170.92/12,655.78 = 4,978.92/x
  3. Step 3: Cross multiply
    9,170.92x = 12,655.78 × 4,978.92
  4. Step 4: Simplify right side
    9,170.92x = 63,012,116.16
  5. Step 5: Solve for x
    x = 63,012,116.16/9,170.92
  6. Step 6: Final answer
    x = 6,870.86

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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.