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Finding the Fourth Proportional to 6,432.84, 8,874.36 and 4,446.18

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Solution

The fourth proportional to 6,432.84, 8,874.36 and 4,446.18 is: 6,133.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.84 : 8,874.36 = 4,446.18 : x
  2. Step 2: Convert to fraction form
    6,432.84/8,874.36 = 4,446.18/x
  3. Step 3: Cross multiply
    6,432.84x = 8,874.36 × 4,446.18
  4. Step 4: Simplify right side
    6,432.84x = 39,457,001.94
  5. Step 5: Solve for x
    x = 39,457,001.94/6,432.84
  6. Step 6: Final answer
    x = 6,133.68

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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.