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Finding the Fourth Proportional to 9,213.68, 12,714.93 and 5,021.93

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Solution

The fourth proportional to 9,213.68, 12,714.93 and 5,021.93 is: 6,930.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.68 : 12,714.93 = 5,021.93 : x
  2. Step 2: Convert to fraction form
    9,213.68/12,714.93 = 5,021.93/x
  3. Step 3: Cross multiply
    9,213.68x = 12,714.93 × 5,021.93
  4. Step 4: Simplify right side
    9,213.68x = 63,853,488.41
  5. Step 5: Solve for x
    x = 63,853,488.41/9,213.68
  6. Step 6: Final answer
    x = 6,930.29

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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.