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Finding the Fourth Proportional to 9,314.27, 13,980.59 and 6,842.15

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Solution

The fourth proportional to 9,314.27, 13,980.59 and 6,842.15 is: 10,269.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.27 : 13,980.59 = 6,842.15 : x
  2. Step 2: Convert to fraction form
    9,314.27/13,980.59 = 6,842.15/x
  3. Step 3: Cross multiply
    9,314.27x = 13,980.59 × 6,842.15
  4. Step 4: Simplify right side
    9,314.27x = 95,657,293.87
  5. Step 5: Solve for x
    x = 95,657,293.87/9,314.27
  6. Step 6: Final answer
    x = 10,269.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.