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Finding the Fourth Proportional to 9,657.84, 14,486.76 and 4,463.04

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Solution

The fourth proportional to 9,657.84, 14,486.76 and 4,463.04 is: 6,694.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.84 : 14,486.76 = 4,463.04 : x
  2. Step 2: Convert to fraction form
    9,657.84/14,486.76 = 4,463.04/x
  3. Step 3: Cross multiply
    9,657.84x = 14,486.76 × 4,463.04
  4. Step 4: Simplify right side
    9,657.84x = 64,654,989.35
  5. Step 5: Solve for x
    x = 64,654,989.35/9,657.84
  6. Step 6: Final answer
    x = 6,694.56

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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.