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Finding the Fourth Proportional to 6,509.34, 9,763.20 and 2,613.78

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Solution

The fourth proportional to 6,509.34, 9,763.20 and 2,613.78 is: 3,920.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.34 : 9,763.20 = 2,613.78 : x
  2. Step 2: Convert to fraction form
    6,509.34/9,763.20 = 2,613.78/x
  3. Step 3: Cross multiply
    6,509.34x = 9,763.20 × 2,613.78
  4. Step 4: Simplify right side
    6,509.34x = 25,518,856.90
  5. Step 5: Solve for x
    x = 25,518,856.90/6,509.34
  6. Step 6: Final answer
    x = 3,920.34

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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.