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Finding the Fourth Proportional to 6,329.65, 8,734.87 and 3,497.20

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Solution

The fourth proportional to 6,329.65, 8,734.87 and 3,497.20 is: 4,826.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.65 : 8,734.87 = 3,497.20 : x
  2. Step 2: Convert to fraction form
    6,329.65/8,734.87 = 3,497.20/x
  3. Step 3: Cross multiply
    6,329.65x = 8,734.87 × 3,497.20
  4. Step 4: Simplify right side
    6,329.65x = 30,547,587.36
  5. Step 5: Solve for x
    x = 30,547,587.36/6,329.65
  6. Step 6: Final answer
    x = 4,826.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.