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Finding the Fourth Proportional to 9,002.60, 13,503.26 and 2,429.16

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Solution

The fourth proportional to 9,002.60, 13,503.26 and 2,429.16 is: 3,643.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.60 : 13,503.26 = 2,429.16 : x
  2. Step 2: Convert to fraction form
    9,002.60/13,503.26 = 2,429.16/x
  3. Step 3: Cross multiply
    9,002.60x = 13,503.26 × 2,429.16
  4. Step 4: Simplify right side
    9,002.60x = 32,801,579.06
  5. Step 5: Solve for x
    x = 32,801,579.06/9,002.60
  6. Step 6: Final answer
    x = 3,643.57

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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.