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Finding the Fourth Proportional to 9,170, 12,654.87 and 4,978.52

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Solution

The fourth proportional to 9,170, 12,654.87 and 4,978.52 is: 6,870.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170 : 12,654.87 = 4,978.52 : x
  2. Step 2: Convert to fraction form
    9,170/12,654.87 = 4,978.52/x
  3. Step 3: Cross multiply
    9,170x = 12,654.87 × 4,978.52
  4. Step 4: Simplify right side
    9,170x = 63,002,523.39
  5. Step 5: Solve for x
    x = 63,002,523.39/9,170
  6. Step 6: Final answer
    x = 6,870.50

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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.