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Finding the Fourth Proportional to 9,412.60, 12,989.86 and 5,220.92

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Solution

The fourth proportional to 9,412.60, 12,989.86 and 5,220.92 is: 7,205.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.60 : 12,989.86 = 5,220.92 : x
  2. Step 2: Convert to fraction form
    9,412.60/12,989.86 = 5,220.92/x
  3. Step 3: Cross multiply
    9,412.60x = 12,989.86 × 5,220.92
  4. Step 4: Simplify right side
    9,412.60x = 67,819,019.87
  5. Step 5: Solve for x
    x = 67,819,019.87/9,412.60
  6. Step 6: Final answer
    x = 7,205.13

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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.