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Finding the Fourth Proportional to 9,002.75, 13,504.08 and 2,429.60

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Solution

The fourth proportional to 9,002.75, 13,504.08 and 2,429.60 is: 3,644.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.75 : 13,504.08 = 2,429.60 : x
  2. Step 2: Convert to fraction form
    9,002.75/13,504.08 = 2,429.60/x
  3. Step 3: Cross multiply
    9,002.75x = 13,504.08 × 2,429.60
  4. Step 4: Simplify right side
    9,002.75x = 32,809,512.77
  5. Step 5: Solve for x
    x = 32,809,512.77/9,002.75
  6. Step 6: Final answer
    x = 3,644.39

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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.