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Finding the Fourth Proportional to 6,342.84, 9,513.32 and 2,446.76

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Solution

The fourth proportional to 6,342.84, 9,513.32 and 2,446.76 is: 3,669.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.84 : 9,513.32 = 2,446.76 : x
  2. Step 2: Convert to fraction form
    6,342.84/9,513.32 = 2,446.76/x
  3. Step 3: Cross multiply
    6,342.84x = 9,513.32 × 2,446.76
  4. Step 4: Simplify right side
    6,342.84x = 23,276,810.84
  5. Step 5: Solve for x
    x = 23,276,810.84/6,342.84
  6. Step 6: Final answer
    x = 3,669.78

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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.