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Finding the Fourth Proportional to 7,101.72, 9,799.56 and 4,116.93

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Solution

The fourth proportional to 7,101.72, 9,799.56 and 4,116.93 is: 5,680.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.72 : 9,799.56 = 4,116.93 : x
  2. Step 2: Convert to fraction form
    7,101.72/9,799.56 = 4,116.93/x
  3. Step 3: Cross multiply
    7,101.72x = 9,799.56 × 4,116.93
  4. Step 4: Simplify right side
    7,101.72x = 40,344,102.55
  5. Step 5: Solve for x
    x = 40,344,102.55/7,101.72
  6. Step 6: Final answer
    x = 5,680.89

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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.