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Finding the Fourth Proportional to 6,185.40, 9,311.82 and 5,641.08

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Solution

The fourth proportional to 6,185.40, 9,311.82 and 5,641.08 is: 8,492.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.40 : 9,311.82 = 5,641.08 : x
  2. Step 2: Convert to fraction form
    6,185.40/9,311.82 = 5,641.08/x
  3. Step 3: Cross multiply
    6,185.40x = 9,311.82 × 5,641.08
  4. Step 4: Simplify right side
    6,185.40x = 52,528,721.57
  5. Step 5: Solve for x
    x = 52,528,721.57/6,185.40
  6. Step 6: Final answer
    x = 8,492.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.