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Finding the Fourth Proportional to 9,338.42, 12,881.49 and 6,556.34

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Solution

The fourth proportional to 9,338.42, 12,881.49 and 6,556.34 is: 9,043.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338.42 : 12,881.49 = 6,556.34 : x
  2. Step 2: Convert to fraction form
    9,338.42/12,881.49 = 6,556.34/x
  3. Step 3: Cross multiply
    9,338.42x = 12,881.49 × 6,556.34
  4. Step 4: Simplify right side
    9,338.42x = 84,455,428.15
  5. Step 5: Solve for x
    x = 84,455,428.15/9,338.42
  6. Step 6: Final answer
    x = 9,043.87

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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.