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Finding the Fourth Proportional to 9,068.52, 13,599.90 and 3,873

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Solution

The fourth proportional to 9,068.52, 13,599.90 and 3,873 is: 5,808.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,068.52 : 13,599.90 = 3,873 : x
  2. Step 2: Convert to fraction form
    9,068.52/13,599.90 = 3,873/x
  3. Step 3: Cross multiply
    9,068.52x = 13,599.90 × 3,873
  4. Step 4: Simplify right side
    9,068.52x = 52,672,412.70
  5. Step 5: Solve for x
    x = 52,672,412.70/9,068.52
  6. Step 6: Final answer
    x = 5,808.27

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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.