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Finding the Fourth Proportional to 9,412.60, 12,997.65 and 5,881.84

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Solution

The fourth proportional to 9,412.60, 12,997.65 and 5,881.84 is: 8,122.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.60 : 12,997.65 = 5,881.84 : x
  2. Step 2: Convert to fraction form
    9,412.60/12,997.65 = 5,881.84/x
  3. Step 3: Cross multiply
    9,412.60x = 12,997.65 × 5,881.84
  4. Step 4: Simplify right side
    9,412.60x = 76,450,097.68
  5. Step 5: Solve for x
    x = 76,450,097.68/9,412.60
  6. Step 6: Final answer
    x = 8,122.10

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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.