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Finding the Fourth Proportional to 9,853.27, 13,597.81 and 5,377.31

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Solution

The fourth proportional to 9,853.27, 13,597.81 and 5,377.31 is: 7,420.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.27 : 13,597.81 = 5,377.31 : x
  2. Step 2: Convert to fraction form
    9,853.27/13,597.81 = 5,377.31/x
  3. Step 3: Cross multiply
    9,853.27x = 13,597.81 × 5,377.31
  4. Step 4: Simplify right side
    9,853.27x = 73,119,685.74
  5. Step 5: Solve for x
    x = 73,119,685.74/9,853.27
  6. Step 6: Final answer
    x = 7,420.85

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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.