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Finding the Fourth Proportional to 9,278.50, 13,919.04 and 2,705.16

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Solution

The fourth proportional to 9,278.50, 13,919.04 and 2,705.16 is: 4,058.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.50 : 13,919.04 = 2,705.16 : x
  2. Step 2: Convert to fraction form
    9,278.50/13,919.04 = 2,705.16/x
  3. Step 3: Cross multiply
    9,278.50x = 13,919.04 × 2,705.16
  4. Step 4: Simplify right side
    9,278.50x = 37,653,230.25
  5. Step 5: Solve for x
    x = 37,653,230.25/9,278.50
  6. Step 6: Final answer
    x = 4,058.12

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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.