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Finding the Fourth Proportional to 9,170.17, 12,654.89 and 4,978.42

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Solution

The fourth proportional to 9,170.17, 12,654.89 and 4,978.42 is: 6,870.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.17 : 12,654.89 = 4,978.42 : x
  2. Step 2: Convert to fraction form
    9,170.17/12,654.89 = 4,978.42/x
  3. Step 3: Cross multiply
    9,170.17x = 12,654.89 × 4,978.42
  4. Step 4: Simplify right side
    9,170.17x = 63,001,357.47
  5. Step 5: Solve for x
    x = 63,001,357.47/9,170.17
  6. Step 6: Final answer
    x = 6,870.25

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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.