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Finding the Fourth Proportional to 7,149.46, 9,866.74 and 4,005.66

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Solution

The fourth proportional to 7,149.46, 9,866.74 and 4,005.66 is: 5,528.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.46 : 9,866.74 = 4,005.66 : x
  2. Step 2: Convert to fraction form
    7,149.46/9,866.74 = 4,005.66/x
  3. Step 3: Cross multiply
    7,149.46x = 9,866.74 × 4,005.66
  4. Step 4: Simplify right side
    7,149.46x = 39,522,805.75
  5. Step 5: Solve for x
    x = 39,522,805.75/7,149.46
  6. Step 6: Final answer
    x = 5,528.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.