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Finding the Fourth Proportional to 9,042.60, 13,564.04 and 2,469.32

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Solution

The fourth proportional to 9,042.60, 13,564.04 and 2,469.32 is: 3,704.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.60 : 13,564.04 = 2,469.32 : x
  2. Step 2: Convert to fraction form
    9,042.60/13,564.04 = 2,469.32/x
  3. Step 3: Cross multiply
    9,042.60x = 13,564.04 × 2,469.32
  4. Step 4: Simplify right side
    9,042.60x = 33,493,955.25
  5. Step 5: Solve for x
    x = 33,493,955.25/9,042.60
  6. Step 6: Final answer
    x = 3,704.02

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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.