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Finding the Fourth Proportional to 6,379.20, 9,547.20 and 5,601.60

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Solution

The fourth proportional to 6,379.20, 9,547.20 and 5,601.60 is: 8,383.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,379.20 : 9,547.20 = 5,601.60 : x
  2. Step 2: Convert to fraction form
    6,379.20/9,547.20 = 5,601.60/x
  3. Step 3: Cross multiply
    6,379.20x = 9,547.20 × 5,601.60
  4. Step 4: Simplify right side
    6,379.20x = 53,479,595.52
  5. Step 5: Solve for x
    x = 53,479,595.52/6,379.20
  6. Step 6: Final answer
    x = 8,383.43

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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.