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Finding the Fourth Proportional to 9,169.68, 12,654.18 and 4,977.93

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Solution

The fourth proportional to 9,169.68, 12,654.18 and 4,977.93 is: 6,869.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169.68 : 12,654.18 = 4,977.93 : x
  2. Step 2: Convert to fraction form
    9,169.68/12,654.18 = 4,977.93/x
  3. Step 3: Cross multiply
    9,169.68x = 12,654.18 × 4,977.93
  4. Step 4: Simplify right side
    9,169.68x = 62,991,622.25
  5. Step 5: Solve for x
    x = 62,991,622.25/9,169.68
  6. Step 6: Final answer
    x = 6,869.56

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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.