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Finding the Fourth Proportional to 6,509.46, 9,758.25 and 2,348.55

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Solution

The fourth proportional to 6,509.46, 9,758.25 and 2,348.55 is: 3,520.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.46 : 9,758.25 = 2,348.55 : x
  2. Step 2: Convert to fraction form
    6,509.46/9,758.25 = 2,348.55/x
  3. Step 3: Cross multiply
    6,509.46x = 9,758.25 × 2,348.55
  4. Step 4: Simplify right side
    6,509.46x = 22,917,738.04
  5. Step 5: Solve for x
    x = 22,917,738.04/6,509.46
  6. Step 6: Final answer
    x = 3,520.68

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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.