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Finding the Fourth Proportional to 6,014.87, 8,971.05 and 5,638.11

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Solution

The fourth proportional to 6,014.87, 8,971.05 and 5,638.11 is: 8,409.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,014.87 : 8,971.05 = 5,638.11 : x
  2. Step 2: Convert to fraction form
    6,014.87/8,971.05 = 5,638.11/x
  3. Step 3: Cross multiply
    6,014.87x = 8,971.05 × 5,638.11
  4. Step 4: Simplify right side
    6,014.87x = 50,579,829.91
  5. Step 5: Solve for x
    x = 50,579,829.91/6,014.87
  6. Step 6: Final answer
    x = 8,409.12

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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.