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Finding the Fourth Proportional to 9,349.71, 14,011.20 and 6,865.04

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Solution

The fourth proportional to 9,349.71, 14,011.20 and 6,865.04 is: 10,287.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.71 : 14,011.20 = 6,865.04 : x
  2. Step 2: Convert to fraction form
    9,349.71/14,011.20 = 6,865.04/x
  3. Step 3: Cross multiply
    9,349.71x = 14,011.20 × 6,865.04
  4. Step 4: Simplify right side
    9,349.71x = 96,187,378.39
  5. Step 5: Solve for x
    x = 96,187,378.39/9,349.71
  6. Step 6: Final answer
    x = 10,287.74

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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.