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Finding the Fourth Proportional to 9,979.65, 13,771.56 and 6,001.14

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Solution

The fourth proportional to 9,979.65, 13,771.56 and 6,001.14 is: 8,281.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,979.65 : 13,771.56 = 6,001.14 : x
  2. Step 2: Convert to fraction form
    9,979.65/13,771.56 = 6,001.14/x
  3. Step 3: Cross multiply
    9,979.65x = 13,771.56 × 6,001.14
  4. Step 4: Simplify right side
    9,979.65x = 82,645,059.58
  5. Step 5: Solve for x
    x = 82,645,059.58/9,979.65
  6. Step 6: Final answer
    x = 8,281.36

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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.