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Finding the Fourth Proportional to 6,875.16, 9,487.74 and 3,731.34

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Solution

The fourth proportional to 6,875.16, 9,487.74 and 3,731.34 is: 5,149.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.16 : 9,487.74 = 3,731.34 : x
  2. Step 2: Convert to fraction form
    6,875.16/9,487.74 = 3,731.34/x
  3. Step 3: Cross multiply
    6,875.16x = 9,487.74 × 3,731.34
  4. Step 4: Simplify right side
    6,875.16x = 35,401,983.77
  5. Step 5: Solve for x
    x = 35,401,983.77/6,875.16
  6. Step 6: Final answer
    x = 5,149.26

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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.