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Finding the Fourth Proportional to 6,149.44, 9,175.52 and 5,776

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Solution

The fourth proportional to 6,149.44, 9,175.52 and 5,776 is: 8,618.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.44 : 9,175.52 = 5,776 : x
  2. Step 2: Convert to fraction form
    6,149.44/9,175.52 = 5,776/x
  3. Step 3: Cross multiply
    6,149.44x = 9,175.52 × 5,776
  4. Step 4: Simplify right side
    6,149.44x = 52,997,803.52
  5. Step 5: Solve for x
    x = 52,997,803.52/6,149.44
  6. Step 6: Final answer
    x = 8,618.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.