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Finding the Fourth Proportional to 9,199.34, 13,801.23 and 2,959.93

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Solution

The fourth proportional to 9,199.34, 13,801.23 and 2,959.93 is: 4,440.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.34 : 13,801.23 = 2,959.93 : x
  2. Step 2: Convert to fraction form
    9,199.34/13,801.23 = 2,959.93/x
  3. Step 3: Cross multiply
    9,199.34x = 13,801.23 × 2,959.93
  4. Step 4: Simplify right side
    9,199.34x = 40,850,674.71
  5. Step 5: Solve for x
    x = 40,850,674.71/9,199.34
  6. Step 6: Final answer
    x = 4,440.61

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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.