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Finding the Fourth Proportional to 9,854.36, 14,761.28 and 6,556.84

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Solution

The fourth proportional to 9,854.36, 14,761.28 and 6,556.84 is: 9,821.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.36 : 14,761.28 = 6,556.84 : x
  2. Step 2: Convert to fraction form
    9,854.36/14,761.28 = 6,556.84/x
  3. Step 3: Cross multiply
    9,854.36x = 14,761.28 × 6,556.84
  4. Step 4: Simplify right side
    9,854.36x = 96,787,351.16
  5. Step 5: Solve for x
    x = 96,787,351.16/9,854.36
  6. Step 6: Final answer
    x = 9,821.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.