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Finding the Fourth Proportional to 8,842.96, 12,202.96 and 4,864.04

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Solution

The fourth proportional to 8,842.96, 12,202.96 and 4,864.04 is: 6,712.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,842.96 : 12,202.96 = 4,864.04 : x
  2. Step 2: Convert to fraction form
    8,842.96/12,202.96 = 4,864.04/x
  3. Step 3: Cross multiply
    8,842.96x = 12,202.96 × 4,864.04
  4. Step 4: Simplify right side
    8,842.96x = 59,355,685.56
  5. Step 5: Solve for x
    x = 59,355,685.56/8,842.96
  6. Step 6: Final answer
    x = 6,712.20

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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.