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Finding the Fourth Proportional to 9,881.37, 13,613.40 and 6,338.43

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Solution

The fourth proportional to 9,881.37, 13,613.40 and 6,338.43 is: 8,732.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.37 : 13,613.40 = 6,338.43 : x
  2. Step 2: Convert to fraction form
    9,881.37/13,613.40 = 6,338.43/x
  3. Step 3: Cross multiply
    9,881.37x = 13,613.40 × 6,338.43
  4. Step 4: Simplify right side
    9,881.37x = 86,287,582.96
  5. Step 5: Solve for x
    x = 86,287,582.96/9,881.37
  6. Step 6: Final answer
    x = 8,732.35

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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.