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Finding the Fourth Proportional to 6,302.80, 9,439.60 and 5,599.36

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Solution

The fourth proportional to 6,302.80, 9,439.60 and 5,599.36 is: 8,386.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.80 : 9,439.60 = 5,599.36 : x
  2. Step 2: Convert to fraction form
    6,302.80/9,439.60 = 5,599.36/x
  3. Step 3: Cross multiply
    6,302.80x = 9,439.60 × 5,599.36
  4. Step 4: Simplify right side
    6,302.80x = 52,855,718.66
  5. Step 5: Solve for x
    x = 52,855,718.66/6,302.80
  6. Step 6: Final answer
    x = 8,386.07

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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.