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Finding the Fourth Proportional to 6,397.25, 9,595.88 and 2,749.25

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Solution

The fourth proportional to 6,397.25, 9,595.88 and 2,749.25 is: 4,123.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.25 : 9,595.88 = 2,749.25 : x
  2. Step 2: Convert to fraction form
    6,397.25/9,595.88 = 2,749.25/x
  3. Step 3: Cross multiply
    6,397.25x = 9,595.88 × 2,749.25
  4. Step 4: Simplify right side
    6,397.25x = 26,381,459.34
  5. Step 5: Solve for x
    x = 26,381,459.34/6,397.25
  6. Step 6: Final answer
    x = 4,123.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.