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Finding the Fourth Proportional to 6,502.32, 9,749.84 and 2,117.39

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Solution

The fourth proportional to 6,502.32, 9,749.84 and 2,117.39 is: 3,174.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.32 : 9,749.84 = 2,117.39 : x
  2. Step 2: Convert to fraction form
    6,502.32/9,749.84 = 2,117.39/x
  3. Step 3: Cross multiply
    6,502.32x = 9,749.84 × 2,117.39
  4. Step 4: Simplify right side
    6,502.32x = 20,644,154.38
  5. Step 5: Solve for x
    x = 20,644,154.38/6,502.32
  6. Step 6: Final answer
    x = 3,174.89

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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.