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Finding the Fourth Proportional to 6,930.16, 9,560.58 and 4,691.26

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Solution

The fourth proportional to 6,930.16, 9,560.58 and 4,691.26 is: 6,471.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.16 : 9,560.58 = 4,691.26 : x
  2. Step 2: Convert to fraction form
    6,930.16/9,560.58 = 4,691.26/x
  3. Step 3: Cross multiply
    6,930.16x = 9,560.58 × 4,691.26
  4. Step 4: Simplify right side
    6,930.16x = 44,851,166.53
  5. Step 5: Solve for x
    x = 44,851,166.53/6,930.16
  6. Step 6: Final answer
    x = 6,471.88

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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.