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Finding the Fourth Proportional to 9,444, 14,160 and 4,514.88

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Solution

The fourth proportional to 9,444, 14,160 and 4,514.88 is: 6,769.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,444 : 14,160 = 4,514.88 : x
  2. Step 2: Convert to fraction form
    9,444/14,160 = 4,514.88/x
  3. Step 3: Cross multiply
    9,444x = 14,160 × 4,514.88
  4. Step 4: Simplify right side
    9,444x = 63,930,700.80
  5. Step 5: Solve for x
    x = 63,930,700.80/9,444
  6. Step 6: Final answer
    x = 6,769.45

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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.