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Finding the Fourth Proportional to 6,329.36, 9,488.76 and 2,432.72

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Solution

The fourth proportional to 6,329.36, 9,488.76 and 2,432.72 is: 3,647.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.36 : 9,488.76 = 2,432.72 : x
  2. Step 2: Convert to fraction form
    6,329.36/9,488.76 = 2,432.72/x
  3. Step 3: Cross multiply
    6,329.36x = 9,488.76 × 2,432.72
  4. Step 4: Simplify right side
    6,329.36x = 23,083,496.23
  5. Step 5: Solve for x
    x = 23,083,496.23/6,329.36
  6. Step 6: Final answer
    x = 3,647.05

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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.