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Finding the Fourth Proportional to 6,870.84, 9,480.18 and 3,886.03

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Solution

The fourth proportional to 6,870.84, 9,480.18 and 3,886.03 is: 5,361.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.84 : 9,480.18 = 3,886.03 : x
  2. Step 2: Convert to fraction form
    6,870.84/9,480.18 = 3,886.03/x
  3. Step 3: Cross multiply
    6,870.84x = 9,480.18 × 3,886.03
  4. Step 4: Simplify right side
    6,870.84x = 36,840,240.18
  5. Step 5: Solve for x
    x = 36,840,240.18/6,870.84
  6. Step 6: Final answer
    x = 5,361.82

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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.