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Finding the Fourth Proportional to 9,064.68, 12,512.38 and 5,713.14

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Solution

The fourth proportional to 9,064.68, 12,512.38 and 5,713.14 is: 7,886.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,064.68 : 12,512.38 = 5,713.14 : x
  2. Step 2: Convert to fraction form
    9,064.68/12,512.38 = 5,713.14/x
  3. Step 3: Cross multiply
    9,064.68x = 12,512.38 × 5,713.14
  4. Step 4: Simplify right side
    9,064.68x = 71,484,978.67
  5. Step 5: Solve for x
    x = 71,484,978.67/9,064.68
  6. Step 6: Final answer
    x = 7,886.10

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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.