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Finding the Fourth Proportional to 9,341.50, 14,012.22 and 3,101.98

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Solution

The fourth proportional to 9,341.50, 14,012.22 and 3,101.98 is: 4,652.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,341.50 : 14,012.22 = 3,101.98 : x
  2. Step 2: Convert to fraction form
    9,341.50/14,012.22 = 3,101.98/x
  3. Step 3: Cross multiply
    9,341.50x = 14,012.22 × 3,101.98
  4. Step 4: Simplify right side
    9,341.50x = 43,465,610.69
  5. Step 5: Solve for x
    x = 43,465,610.69/9,341.50
  6. Step 6: Final answer
    x = 4,652.96

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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.