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Finding the Fourth Proportional to 6,854.61, 9,458.49 and 4,019.88

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Solution

The fourth proportional to 6,854.61, 9,458.49 and 4,019.88 is: 5,546.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.61 : 9,458.49 = 4,019.88 : x
  2. Step 2: Convert to fraction form
    6,854.61/9,458.49 = 4,019.88/x
  3. Step 3: Cross multiply
    6,854.61x = 9,458.49 × 4,019.88
  4. Step 4: Simplify right side
    6,854.61x = 38,021,994.78
  5. Step 5: Solve for x
    x = 38,021,994.78/6,854.61
  6. Step 6: Final answer
    x = 5,546.92

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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.