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Finding the Fourth Proportional to 8,842.70, 12,202.96 and 4,864.07

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Solution

The fourth proportional to 8,842.70, 12,202.96 and 4,864.07 is: 6,712.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,842.70 : 12,202.96 = 4,864.07 : x
  2. Step 2: Convert to fraction form
    8,842.70/12,202.96 = 4,864.07/x
  3. Step 3: Cross multiply
    8,842.70x = 12,202.96 × 4,864.07
  4. Step 4: Simplify right side
    8,842.70x = 59,356,051.65
  5. Step 5: Solve for x
    x = 59,356,051.65/8,842.70
  6. Step 6: Final answer
    x = 6,712.44

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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.