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Finding the Fourth Proportional to 6,870.15, 9,473.69 and 5,878.71

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Solution

The fourth proportional to 6,870.15, 9,473.69 and 5,878.71 is: 8,106.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.15 : 9,473.69 = 5,878.71 : x
  2. Step 2: Convert to fraction form
    6,870.15/9,473.69 = 5,878.71/x
  3. Step 3: Cross multiply
    6,870.15x = 9,473.69 × 5,878.71
  4. Step 4: Simplify right side
    6,870.15x = 55,693,046.75
  5. Step 5: Solve for x
    x = 55,693,046.75/6,870.15
  6. Step 6: Final answer
    x = 8,106.53

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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.