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Finding the Fourth Proportional to 9,719.68, 13,400.90 and 6,357.17

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Solution

The fourth proportional to 9,719.68, 13,400.90 and 6,357.17 is: 8,764.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.68 : 13,400.90 = 6,357.17 : x
  2. Step 2: Convert to fraction form
    9,719.68/13,400.90 = 6,357.17/x
  3. Step 3: Cross multiply
    9,719.68x = 13,400.90 × 6,357.17
  4. Step 4: Simplify right side
    9,719.68x = 85,191,799.45
  5. Step 5: Solve for x
    x = 85,191,799.45/9,719.68
  6. Step 6: Final answer
    x = 8,764.88

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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.