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Finding the Fourth Proportional to 9,758.11, 13,462.56 and 6,402.79

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Solution

The fourth proportional to 9,758.11, 13,462.56 and 6,402.79 is: 8,833.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.11 : 13,462.56 = 6,402.79 : x
  2. Step 2: Convert to fraction form
    9,758.11/13,462.56 = 6,402.79/x
  3. Step 3: Cross multiply
    9,758.11x = 13,462.56 × 6,402.79
  4. Step 4: Simplify right side
    9,758.11x = 86,197,944.54
  5. Step 5: Solve for x
    x = 86,197,944.54/9,758.11
  6. Step 6: Final answer
    x = 8,833.47

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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.