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Finding the Fourth Proportional to 9,407, 14,095.84 and 3,560.44

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Solution

The fourth proportional to 9,407, 14,095.84 and 3,560.44 is: 5,335.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407 : 14,095.84 = 3,560.44 : x
  2. Step 2: Convert to fraction form
    9,407/14,095.84 = 3,560.44/x
  3. Step 3: Cross multiply
    9,407x = 14,095.84 × 3,560.44
  4. Step 4: Simplify right side
    9,407x = 50,187,392.57
  5. Step 5: Solve for x
    x = 50,187,392.57/9,407
  6. Step 6: Final answer
    x = 5,335.11

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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.