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Finding the Fourth Proportional to 6,854.45, 9,458.61 and 3,870.54

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Solution

The fourth proportional to 6,854.45, 9,458.61 and 3,870.54 is: 5,341.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.45 : 9,458.61 = 3,870.54 : x
  2. Step 2: Convert to fraction form
    6,854.45/9,458.61 = 3,870.54/x
  3. Step 3: Cross multiply
    6,854.45x = 9,458.61 × 3,870.54
  4. Step 4: Simplify right side
    6,854.45x = 36,609,913.83
  5. Step 5: Solve for x
    x = 36,609,913.83/6,854.45
  6. Step 6: Final answer
    x = 5,341.05

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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.