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Finding the Fourth Proportional to 9,208.75, 12,708.08 and 5,017

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Solution

The fourth proportional to 9,208.75, 12,708.08 and 5,017 is: 6,923.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.75 : 12,708.08 = 5,017 : x
  2. Step 2: Convert to fraction form
    9,208.75/12,708.08 = 5,017/x
  3. Step 3: Cross multiply
    9,208.75x = 12,708.08 × 5,017
  4. Step 4: Simplify right side
    9,208.75x = 63,756,437.36
  5. Step 5: Solve for x
    x = 63,756,437.36/9,208.75
  6. Step 6: Final answer
    x = 6,923.46

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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.