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Finding the Fourth Proportional to 7,147.76, 9,864.90 and 4,164.53

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Solution

The fourth proportional to 7,147.76, 9,864.90 and 4,164.53 is: 5,747.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.76 : 9,864.90 = 4,164.53 : x
  2. Step 2: Convert to fraction form
    7,147.76/9,864.90 = 4,164.53/x
  3. Step 3: Cross multiply
    7,147.76x = 9,864.90 × 4,164.53
  4. Step 4: Simplify right side
    7,147.76x = 41,082,696.66
  5. Step 5: Solve for x
    x = 41,082,696.66/7,147.76
  6. Step 6: Final answer
    x = 5,747.63

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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.