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Finding the Fourth Proportional to 6,555.27, 9,809.23 and 5,641.84

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Solution

The fourth proportional to 6,555.27, 9,809.23 and 5,641.84 is: 8,442.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,555.27 : 9,809.23 = 5,641.84 : x
  2. Step 2: Convert to fraction form
    6,555.27/9,809.23 = 5,641.84/x
  3. Step 3: Cross multiply
    6,555.27x = 9,809.23 × 5,641.84
  4. Step 4: Simplify right side
    6,555.27x = 55,342,106.18
  5. Step 5: Solve for x
    x = 55,342,106.18/6,555.27
  6. Step 6: Final answer
    x = 8,442.38

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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.