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Finding the Fourth Proportional to 6,556.41, 9,833.40 and 1,875.42

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Solution

The fourth proportional to 6,556.41, 9,833.40 and 1,875.42 is: 2,812.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,556.41 : 9,833.40 = 1,875.42 : x
  2. Step 2: Convert to fraction form
    6,556.41/9,833.40 = 1,875.42/x
  3. Step 3: Cross multiply
    6,556.41x = 9,833.40 × 1,875.42
  4. Step 4: Simplify right side
    6,556.41x = 18,441,755.03
  5. Step 5: Solve for x
    x = 18,441,755.03/6,556.41
  6. Step 6: Final answer
    x = 2,812.78

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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.