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Finding the Fourth Proportional to 6,888.08, 9,506.58 and 4,200.85

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Solution

The fourth proportional to 6,888.08, 9,506.58 and 4,200.85 is: 5,797.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,888.08 : 9,506.58 = 4,200.85 : x
  2. Step 2: Convert to fraction form
    6,888.08/9,506.58 = 4,200.85/x
  3. Step 3: Cross multiply
    6,888.08x = 9,506.58 × 4,200.85
  4. Step 4: Simplify right side
    6,888.08x = 39,935,762.05
  5. Step 5: Solve for x
    x = 39,935,762.05/6,888.08
  6. Step 6: Final answer
    x = 5,797.81

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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.