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Finding the Fourth Proportional to 6,195.92, 8,547.48 and 3,677.84

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Solution

The fourth proportional to 6,195.92, 8,547.48 and 3,677.84 is: 5,073.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,195.92 : 8,547.48 = 3,677.84 : x
  2. Step 2: Convert to fraction form
    6,195.92/8,547.48 = 3,677.84/x
  3. Step 3: Cross multiply
    6,195.92x = 8,547.48 × 3,677.84
  4. Step 4: Simplify right side
    6,195.92x = 31,436,263.84
  5. Step 5: Solve for x
    x = 31,436,263.84/6,195.92
  6. Step 6: Final answer
    x = 5,073.70

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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.