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Finding the Fourth Proportional to 9,257.80, 13,889.18 and 4,874.12

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Solution

The fourth proportional to 9,257.80, 13,889.18 and 4,874.12 is: 7,312.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.80 : 13,889.18 = 4,874.12 : x
  2. Step 2: Convert to fraction form
    9,257.80/13,889.18 = 4,874.12/x
  3. Step 3: Cross multiply
    9,257.80x = 13,889.18 × 4,874.12
  4. Step 4: Simplify right side
    9,257.80x = 67,697,530.02
  5. Step 5: Solve for x
    x = 67,697,530.02/9,257.80
  6. Step 6: Final answer
    x = 7,312.49

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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.