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Finding the Fourth Proportional to 6,948.70, 9,597.62 and 5,057.28

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Solution

The fourth proportional to 6,948.70, 9,597.62 and 5,057.28 is: 6,985.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.70 : 9,597.62 = 5,057.28 : x
  2. Step 2: Convert to fraction form
    6,948.70/9,597.62 = 5,057.28/x
  3. Step 3: Cross multiply
    6,948.70x = 9,597.62 × 5,057.28
  4. Step 4: Simplify right side
    6,948.70x = 48,537,826.39
  5. Step 5: Solve for x
    x = 48,537,826.39/6,948.70
  6. Step 6: Final answer
    x = 6,985.17

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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.