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Finding the Fourth Proportional to 9,144.63, 13,712.04 and 2,902.95

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Solution

The fourth proportional to 9,144.63, 13,712.04 and 2,902.95 is: 4,352.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.63 : 13,712.04 = 2,902.95 : x
  2. Step 2: Convert to fraction form
    9,144.63/13,712.04 = 2,902.95/x
  3. Step 3: Cross multiply
    9,144.63x = 13,712.04 × 2,902.95
  4. Step 4: Simplify right side
    9,144.63x = 39,805,366.52
  5. Step 5: Solve for x
    x = 39,805,366.52/9,144.63
  6. Step 6: Final answer
    x = 4,352.87

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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.