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Finding the Fourth Proportional to 9,041.60, 13,562.40 and 8,494.40

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Solution

The fourth proportional to 9,041.60, 13,562.40 and 8,494.40 is: 12,741.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,041.60 : 13,562.40 = 8,494.40 : x
  2. Step 2: Convert to fraction form
    9,041.60/13,562.40 = 8,494.40/x
  3. Step 3: Cross multiply
    9,041.60x = 13,562.40 × 8,494.40
  4. Step 4: Simplify right side
    9,041.60x = 115,204,450.56
  5. Step 5: Solve for x
    x = 115,204,450.56/9,041.60
  6. Step 6: Final answer
    x = 12,741.60

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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.