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Finding the Fourth Proportional to 9,926.83, 13,698 and 5,947.84

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Solution

The fourth proportional to 9,926.83, 13,698 and 5,947.84 is: 8,207.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,926.83 : 13,698 = 5,947.84 : x
  2. Step 2: Convert to fraction form
    9,926.83/13,698 = 5,947.84/x
  3. Step 3: Cross multiply
    9,926.83x = 13,698 × 5,947.84
  4. Step 4: Simplify right side
    9,926.83x = 81,473,512.32
  5. Step 5: Solve for x
    x = 81,473,512.32/9,926.83
  6. Step 6: Final answer
    x = 8,207.40

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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.