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Finding the Fourth Proportional to 6,888.13, 9,506.65 and 4,200.90

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Solution

The fourth proportional to 6,888.13, 9,506.65 and 4,200.90 is: 5,797.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,888.13 : 9,506.65 = 4,200.90 : x
  2. Step 2: Convert to fraction form
    6,888.13/9,506.65 = 4,200.90/x
  3. Step 3: Cross multiply
    6,888.13x = 9,506.65 × 4,200.90
  4. Step 4: Simplify right side
    6,888.13x = 39,936,537.39
  5. Step 5: Solve for x
    x = 39,936,537.39/6,888.13
  6. Step 6: Final answer
    x = 5,797.88

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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.