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Finding the Fourth Proportional to 9,314.77, 13,981.34 and 6,842.65

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Solution

The fourth proportional to 9,314.77, 13,981.34 and 6,842.65 is: 10,270.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.77 : 13,981.34 = 6,842.65 : x
  2. Step 2: Convert to fraction form
    9,314.77/13,981.34 = 6,842.65/x
  3. Step 3: Cross multiply
    9,314.77x = 13,981.34 × 6,842.65
  4. Step 4: Simplify right side
    9,314.77x = 95,669,416.15
  5. Step 5: Solve for x
    x = 95,669,416.15/9,314.77
  6. Step 6: Final answer
    x = 10,270.72

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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.