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Finding the Fourth Proportional to 6,875.36, 9,488.03 and 3,731.55

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Solution

The fourth proportional to 6,875.36, 9,488.03 and 3,731.55 is: 5,149.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.36 : 9,488.03 = 3,731.55 : x
  2. Step 2: Convert to fraction form
    6,875.36/9,488.03 = 3,731.55/x
  3. Step 3: Cross multiply
    6,875.36x = 9,488.03 × 3,731.55
  4. Step 4: Simplify right side
    6,875.36x = 35,405,058.35
  5. Step 5: Solve for x
    x = 35,405,058.35/6,875.36
  6. Step 6: Final answer
    x = 5,149.56

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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.