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Finding the Fourth Proportional to 9,341.76, 14,013.44 and 3,100.44

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Solution

The fourth proportional to 9,341.76, 14,013.44 and 3,100.44 is: 4,650.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,341.76 : 14,013.44 = 3,100.44 : x
  2. Step 2: Convert to fraction form
    9,341.76/14,013.44 = 3,100.44/x
  3. Step 3: Cross multiply
    9,341.76x = 14,013.44 × 3,100.44
  4. Step 4: Simplify right side
    9,341.76x = 43,447,829.91
  5. Step 5: Solve for x
    x = 43,447,829.91/9,341.76
  6. Step 6: Final answer
    x = 4,650.93

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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.