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Finding the Fourth Proportional to 6,870.47, 9,482.67 and 3,886.43

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Solution

The fourth proportional to 6,870.47, 9,482.67 and 3,886.43 is: 5,364.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.47 : 9,482.67 = 3,886.43 : x
  2. Step 2: Convert to fraction form
    6,870.47/9,482.67 = 3,886.43/x
  3. Step 3: Cross multiply
    6,870.47x = 9,482.67 × 3,886.43
  4. Step 4: Simplify right side
    6,870.47x = 36,853,713.74
  5. Step 5: Solve for x
    x = 36,853,713.74/6,870.47
  6. Step 6: Final answer
    x = 5,364.07

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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.