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Finding the Fourth Proportional to 6,587.84, 9,884.39 and 2,892.21

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Solution

The fourth proportional to 6,587.84, 9,884.39 and 2,892.21 is: 4,339.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.84 : 9,884.39 = 2,892.21 : x
  2. Step 2: Convert to fraction form
    6,587.84/9,884.39 = 2,892.21/x
  3. Step 3: Cross multiply
    6,587.84x = 9,884.39 × 2,892.21
  4. Step 4: Simplify right side
    6,587.84x = 28,587,717.14
  5. Step 5: Solve for x
    x = 28,587,717.14/6,587.84
  6. Step 6: Final answer
    x = 4,339.47

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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.