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Finding the Fourth Proportional to 9,705.75, 13,393.94 and 5,514

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Solution

The fourth proportional to 9,705.75, 13,393.94 and 5,514 is: 7,609.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.75 : 13,393.94 = 5,514 : x
  2. Step 2: Convert to fraction form
    9,705.75/13,393.94 = 5,514/x
  3. Step 3: Cross multiply
    9,705.75x = 13,393.94 × 5,514
  4. Step 4: Simplify right side
    9,705.75x = 73,854,157.59
  5. Step 5: Solve for x
    x = 73,854,157.59/9,705.75
  6. Step 6: Final answer
    x = 7,609.32

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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.