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Finding the Fourth Proportional to 9,006.95, 13,511.10 and 2,433.04

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Solution

The fourth proportional to 9,006.95, 13,511.10 and 2,433.04 is: 3,649.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.95 : 13,511.10 = 2,433.04 : x
  2. Step 2: Convert to fraction form
    9,006.95/13,511.10 = 2,433.04/x
  3. Step 3: Cross multiply
    9,006.95x = 13,511.10 × 2,433.04
  4. Step 4: Simplify right side
    9,006.95x = 32,873,046.74
  5. Step 5: Solve for x
    x = 32,873,046.74/9,006.95
  6. Step 6: Final answer
    x = 3,649.74

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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.