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Finding the Fourth Proportional to 6,706.30, 9,244.53 and 5,287.48

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Solution

The fourth proportional to 6,706.30, 9,244.53 and 5,287.48 is: 7,288.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.30 : 9,244.53 = 5,287.48 : x
  2. Step 2: Convert to fraction form
    6,706.30/9,244.53 = 5,287.48/x
  3. Step 3: Cross multiply
    6,706.30x = 9,244.53 × 5,287.48
  4. Step 4: Simplify right side
    6,706.30x = 48,880,267.48
  5. Step 5: Solve for x
    x = 48,880,267.48/6,706.30
  6. Step 6: Final answer
    x = 7,288.71

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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.