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Finding the Fourth Proportional to 9,193.64, 12,687.14 and 5,001.89

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Solution

The fourth proportional to 9,193.64, 12,687.14 and 5,001.89 is: 6,902.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.64 : 12,687.14 = 5,001.89 : x
  2. Step 2: Convert to fraction form
    9,193.64/12,687.14 = 5,001.89/x
  3. Step 3: Cross multiply
    9,193.64x = 12,687.14 × 5,001.89
  4. Step 4: Simplify right side
    9,193.64x = 63,459,590.25
  5. Step 5: Solve for x
    x = 63,459,590.25/9,193.64
  6. Step 6: Final answer
    x = 6,902.56

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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.