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Finding the Fourth Proportional to 7,149.44, 9,865.66 and 4,005.20

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Solution

The fourth proportional to 7,149.44, 9,865.66 and 4,005.20 is: 5,526.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.44 : 9,865.66 = 4,005.20 : x
  2. Step 2: Convert to fraction form
    7,149.44/9,865.66 = 4,005.20/x
  3. Step 3: Cross multiply
    7,149.44x = 9,865.66 × 4,005.20
  4. Step 4: Simplify right side
    7,149.44x = 39,513,941.43
  5. Step 5: Solve for x
    x = 39,513,941.43/7,149.44
  6. Step 6: Final answer
    x = 5,526.86

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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.