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Finding the Fourth Proportional to 9,002.95, 13,504.43 and 2,429.14

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Solution

The fourth proportional to 9,002.95, 13,504.43 and 2,429.14 is: 3,643.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.95 : 13,504.43 = 2,429.14 : x
  2. Step 2: Convert to fraction form
    9,002.95/13,504.43 = 2,429.14/x
  3. Step 3: Cross multiply
    9,002.95x = 13,504.43 × 2,429.14
  4. Step 4: Simplify right side
    9,002.95x = 32,804,151.24
  5. Step 5: Solve for x
    x = 32,804,151.24/9,002.95
  6. Step 6: Final answer
    x = 3,643.71

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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.