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Finding the Fourth Proportional to 6,340.86, 9,499.19 and 3,559.10

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Solution

The fourth proportional to 6,340.86, 9,499.19 and 3,559.10 is: 5,331.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.86 : 9,499.19 = 3,559.10 : x
  2. Step 2: Convert to fraction form
    6,340.86/9,499.19 = 3,559.10/x
  3. Step 3: Cross multiply
    6,340.86x = 9,499.19 × 3,559.10
  4. Step 4: Simplify right side
    6,340.86x = 33,808,534.48
  5. Step 5: Solve for x
    x = 33,808,534.48/6,340.86
  6. Step 6: Final answer
    x = 5,331.85

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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.