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Finding the Fourth Proportional to 9,281.84, 13,906.01 and 6,154.44

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Solution

The fourth proportional to 9,281.84, 13,906.01 and 6,154.44 is: 9,220.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.84 : 13,906.01 = 6,154.44 : x
  2. Step 2: Convert to fraction form
    9,281.84/13,906.01 = 6,154.44/x
  3. Step 3: Cross multiply
    9,281.84x = 13,906.01 × 6,154.44
  4. Step 4: Simplify right side
    9,281.84x = 85,583,704.18
  5. Step 5: Solve for x
    x = 85,583,704.18/9,281.84
  6. Step 6: Final answer
    x = 9,220.55

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Why These Related Problems?

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