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Finding the Fourth Proportional to 7,014.92, 9,680.34 and 3,871.10

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Solution

The fourth proportional to 7,014.92, 9,680.34 and 3,871.10 is: 5,341.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014.92 : 9,680.34 = 3,871.10 : x
  2. Step 2: Convert to fraction form
    7,014.92/9,680.34 = 3,871.10/x
  3. Step 3: Cross multiply
    7,014.92x = 9,680.34 × 3,871.10
  4. Step 4: Simplify right side
    7,014.92x = 37,473,564.17
  5. Step 5: Solve for x
    x = 37,473,564.17/7,014.92
  6. Step 6: Final answer
    x = 5,341.98

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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.