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Finding the Fourth Proportional to 9,006.75, 13,510.14 and 3,165.03

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Solution

The fourth proportional to 9,006.75, 13,510.14 and 3,165.03 is: 4,747.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.75 : 13,510.14 = 3,165.03 : x
  2. Step 2: Convert to fraction form
    9,006.75/13,510.14 = 3,165.03/x
  3. Step 3: Cross multiply
    9,006.75x = 13,510.14 × 3,165.03
  4. Step 4: Simplify right side
    9,006.75x = 42,759,998.40
  5. Step 5: Solve for x
    x = 42,759,998.40/9,006.75
  6. Step 6: Final answer
    x = 4,747.55

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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.