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Finding the Fourth Proportional to 6,875.44, 9,488 and 3,731.60

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Solution

The fourth proportional to 6,875.44, 9,488 and 3,731.60 is: 5,149.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.44 : 9,488 = 3,731.60 : x
  2. Step 2: Convert to fraction form
    6,875.44/9,488 = 3,731.60/x
  3. Step 3: Cross multiply
    6,875.44x = 9,488 × 3,731.60
  4. Step 4: Simplify right side
    6,875.44x = 35,405,420.80
  5. Step 5: Solve for x
    x = 35,405,420.80/6,875.44
  6. Step 6: Final answer
    x = 5,149.55

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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.