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Finding the Fourth Proportional to 6,854.16, 9,456.66 and 4,200.60

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Solution

The fourth proportional to 6,854.16, 9,456.66 and 4,200.60 is: 5,795.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.16 : 9,456.66 = 4,200.60 : x
  2. Step 2: Convert to fraction form
    6,854.16/9,456.66 = 4,200.60/x
  3. Step 3: Cross multiply
    6,854.16x = 9,456.66 × 4,200.60
  4. Step 4: Simplify right side
    6,854.16x = 39,723,646.00
  5. Step 5: Solve for x
    x = 39,723,646.00/6,854.16
  6. Step 6: Final answer
    x = 5,795.55

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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.