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Finding the Fourth Proportional to 6,111.80, 9,153.12 and 3,506.84

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Solution

The fourth proportional to 6,111.80, 9,153.12 and 3,506.84 is: 5,251.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.80 : 9,153.12 = 3,506.84 : x
  2. Step 2: Convert to fraction form
    6,111.80/9,153.12 = 3,506.84/x
  3. Step 3: Cross multiply
    6,111.80x = 9,153.12 × 3,506.84
  4. Step 4: Simplify right side
    6,111.80x = 32,098,527.34
  5. Step 5: Solve for x
    x = 32,098,527.34/6,111.80
  6. Step 6: Final answer
    x = 5,251.89

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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.