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Finding the Fourth Proportional to 6,555.98, 9,827.58 and 4,209.42

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Solution

The fourth proportional to 6,555.98, 9,827.58 and 4,209.42 is: 6,310.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,555.98 : 9,827.58 = 4,209.42 : x
  2. Step 2: Convert to fraction form
    6,555.98/9,827.58 = 4,209.42/x
  3. Step 3: Cross multiply
    6,555.98x = 9,827.58 × 4,209.42
  4. Step 4: Simplify right side
    6,555.98x = 41,368,411.80
  5. Step 5: Solve for x
    x = 41,368,411.80/6,555.98
  6. Step 6: Final answer
    x = 6,310.03

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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.