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Finding the Fourth Proportional to 6,591.84, 9,886.72 and 3,084.28

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Solution

The fourth proportional to 6,591.84, 9,886.72 and 3,084.28 is: 4,625.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591.84 : 9,886.72 = 3,084.28 : x
  2. Step 2: Convert to fraction form
    6,591.84/9,886.72 = 3,084.28/x
  3. Step 3: Cross multiply
    6,591.84x = 9,886.72 × 3,084.28
  4. Step 4: Simplify right side
    6,591.84x = 30,493,412.76
  5. Step 5: Solve for x
    x = 30,493,412.76/6,591.84
  6. Step 6: Final answer
    x = 4,625.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.