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Finding the Fourth Proportional to 9,514.72, 13,134.72 and 5,534.38

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Solution

The fourth proportional to 9,514.72, 13,134.72 and 5,534.38 is: 7,640.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,514.72 : 13,134.72 = 5,534.38 : x
  2. Step 2: Convert to fraction form
    9,514.72/13,134.72 = 5,534.38/x
  3. Step 3: Cross multiply
    9,514.72x = 13,134.72 × 5,534.38
  4. Step 4: Simplify right side
    9,514.72x = 72,692,531.67
  5. Step 5: Solve for x
    x = 72,692,531.67/9,514.72
  6. Step 6: Final answer
    x = 7,640.01

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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.