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Finding the Fourth Proportional to 6,332, 8,738.16 and 3,537.76

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Solution

The fourth proportional to 6,332, 8,738.16 and 3,537.76 is: 4,882.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,332 : 8,738.16 = 3,537.76 : x
  2. Step 2: Convert to fraction form
    6,332/8,738.16 = 3,537.76/x
  3. Step 3: Cross multiply
    6,332x = 8,738.16 × 3,537.76
  4. Step 4: Simplify right side
    6,332x = 30,913,512.92
  5. Step 5: Solve for x
    x = 30,913,512.92/6,332
  6. Step 6: Final answer
    x = 4,882.11

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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.