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Finding the Fourth Proportional to 12,292.94, 16,965.71 and 6,988.56

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Solution

The fourth proportional to 12,292.94, 16,965.71 and 6,988.56 is: 9,645.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,292.94 : 16,965.71 = 6,988.56 : x
  2. Step 2: Convert to fraction form
    12,292.94/16,965.71 = 6,988.56/x
  3. Step 3: Cross multiply
    12,292.94x = 16,965.71 × 6,988.56
  4. Step 4: Simplify right side
    12,292.94x = 118,565,882.28
  5. Step 5: Solve for x
    x = 118,565,882.28/12,292.94
  6. Step 6: Final answer
    x = 9,645.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.