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Finding the Fourth Proportional to 6,011.87, 9,017.70 and 2,314.90

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Solution

The fourth proportional to 6,011.87, 9,017.70 and 2,314.90 is: 3,472.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,011.87 : 9,017.70 = 2,314.90 : x
  2. Step 2: Convert to fraction form
    6,011.87/9,017.70 = 2,314.90/x
  3. Step 3: Cross multiply
    6,011.87x = 9,017.70 × 2,314.90
  4. Step 4: Simplify right side
    6,011.87x = 20,875,051.19
  5. Step 5: Solve for x
    x = 20,875,051.19/6,011.87
  6. Step 6: Final answer
    x = 3,472.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.