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Finding the Fourth Proportional to 9,961.93, 13,761.44 and 9,437.05

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Solution

The fourth proportional to 9,961.93, 13,761.44 and 9,437.05 is: 13,036.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.93 : 13,761.44 = 9,437.05 : x
  2. Step 2: Convert to fraction form
    9,961.93/13,761.44 = 9,437.05/x
  3. Step 3: Cross multiply
    9,961.93x = 13,761.44 × 9,437.05
  4. Step 4: Simplify right side
    9,961.93x = 129,867,397.35
  5. Step 5: Solve for x
    x = 129,867,397.35/9,961.93
  6. Step 6: Final answer
    x = 13,036.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.