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Finding the Fourth Proportional to 9,980.67, 13,774.23 and 6,001.68

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Solution

The fourth proportional to 9,980.67, 13,774.23 and 6,001.68 is: 8,282.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.67 : 13,774.23 = 6,001.68 : x
  2. Step 2: Convert to fraction form
    9,980.67/13,774.23 = 6,001.68/x
  3. Step 3: Cross multiply
    9,980.67x = 13,774.23 × 6,001.68
  4. Step 4: Simplify right side
    9,980.67x = 82,668,520.71
  5. Step 5: Solve for x
    x = 82,668,520.71/9,980.67
  6. Step 6: Final answer
    x = 8,282.86

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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.