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Finding the Fourth Proportional to 9,719.75, 13,400.98 and 6,357.24

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Solution

The fourth proportional to 9,719.75, 13,400.98 and 6,357.24 is: 8,764.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.75 : 13,400.98 = 6,357.24 : x
  2. Step 2: Convert to fraction form
    9,719.75/13,400.98 = 6,357.24/x
  3. Step 3: Cross multiply
    9,719.75x = 13,400.98 × 6,357.24
  4. Step 4: Simplify right side
    9,719.75x = 85,193,230.20
  5. Step 5: Solve for x
    x = 85,193,230.20/9,719.75
  6. Step 6: Final answer
    x = 8,764.96

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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.