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Finding the Fourth Proportional to 6,591.84, 9,878.01 and 3,666.12

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Solution

The fourth proportional to 6,591.84, 9,878.01 and 3,666.12 is: 5,493.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591.84 : 9,878.01 = 3,666.12 : x
  2. Step 2: Convert to fraction form
    6,591.84/9,878.01 = 3,666.12/x
  3. Step 3: Cross multiply
    6,591.84x = 9,878.01 × 3,666.12
  4. Step 4: Simplify right side
    6,591.84x = 36,213,970.02
  5. Step 5: Solve for x
    x = 36,213,970.02/6,591.84
  6. Step 6: Final answer
    x = 5,493.76

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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.