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Finding the Fourth Proportional to 9,213.63, 12,714 and 5,124.65

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Solution

The fourth proportional to 9,213.63, 12,714 and 5,124.65 is: 7,071.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.63 : 12,714 = 5,124.65 : x
  2. Step 2: Convert to fraction form
    9,213.63/12,714 = 5,124.65/x
  3. Step 3: Cross multiply
    9,213.63x = 12,714 × 5,124.65
  4. Step 4: Simplify right side
    9,213.63x = 65,154,736.53
  5. Step 5: Solve for x
    x = 65,154,736.53/9,213.63
  6. Step 6: Final answer
    x = 7,071.56

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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.