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Finding the Fourth Proportional to 9,685.88, 13,364.45 and 5,705.54

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Solution

The fourth proportional to 9,685.88, 13,364.45 and 5,705.54 is: 7,872.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.88 : 13,364.45 = 5,705.54 : x
  2. Step 2: Convert to fraction form
    9,685.88/13,364.45 = 5,705.54/x
  3. Step 3: Cross multiply
    9,685.88x = 13,364.45 × 5,705.54
  4. Step 4: Simplify right side
    9,685.88x = 76,251,308.70
  5. Step 5: Solve for x
    x = 76,251,308.70/9,685.88
  6. Step 6: Final answer
    x = 7,872.42

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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.