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Finding the Fourth Proportional to 6,948.57, 9,597.44 and 5,057.15

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Solution

The fourth proportional to 6,948.57, 9,597.44 and 5,057.15 is: 6,985.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.57 : 9,597.44 = 5,057.15 : x
  2. Step 2: Convert to fraction form
    6,948.57/9,597.44 = 5,057.15/x
  3. Step 3: Cross multiply
    6,948.57x = 9,597.44 × 5,057.15
  4. Step 4: Simplify right side
    6,948.57x = 48,535,730.33
  5. Step 5: Solve for x
    x = 48,535,730.33/6,948.57
  6. Step 6: Final answer
    x = 6,985.00

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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.