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Finding the Fourth Proportional to 9,535.01, 14,232.38 and 8,866.49

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Solution

The fourth proportional to 9,535.01, 14,232.38 and 8,866.49 is: 13,234.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,535.01 : 14,232.38 = 8,866.49 : x
  2. Step 2: Convert to fraction form
    9,535.01/14,232.38 = 8,866.49/x
  3. Step 3: Cross multiply
    9,535.01x = 14,232.38 × 8,866.49
  4. Step 4: Simplify right side
    9,535.01x = 126,191,254.95
  5. Step 5: Solve for x
    x = 126,191,254.95/9,535.01
  6. Step 6: Final answer
    x = 13,234.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.