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Finding the Fourth Proportional to 9,208.68, 12,708 and 5,017.20

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Solution

The fourth proportional to 9,208.68, 12,708 and 5,017.20 is: 6,923.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.68 : 12,708 = 5,017.20 : x
  2. Step 2: Convert to fraction form
    9,208.68/12,708 = 5,017.20/x
  3. Step 3: Cross multiply
    9,208.68x = 12,708 × 5,017.20
  4. Step 4: Simplify right side
    9,208.68x = 63,758,577.60
  5. Step 5: Solve for x
    x = 63,758,577.60/9,208.68
  6. Step 6: Final answer
    x = 6,923.75

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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.