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Finding the Fourth Proportional to 6,340.19, 9,506.25 and 5,561.73

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Solution

The fourth proportional to 6,340.19, 9,506.25 and 5,561.73 is: 8,339.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.19 : 9,506.25 = 5,561.73 : x
  2. Step 2: Convert to fraction form
    6,340.19/9,506.25 = 5,561.73/x
  3. Step 3: Cross multiply
    6,340.19x = 9,506.25 × 5,561.73
  4. Step 4: Simplify right side
    6,340.19x = 52,871,195.81
  5. Step 5: Solve for x
    x = 52,871,195.81/6,340.19
  6. Step 6: Final answer
    x = 8,339.06

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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.