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Finding the Fourth Proportional to 6,540.65, 9,814.16 and 2,381.70

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Solution

The fourth proportional to 6,540.65, 9,814.16 and 2,381.70 is: 3,573.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.65 : 9,814.16 = 2,381.70 : x
  2. Step 2: Convert to fraction form
    6,540.65/9,814.16 = 2,381.70/x
  3. Step 3: Cross multiply
    6,540.65x = 9,814.16 × 2,381.70
  4. Step 4: Simplify right side
    6,540.65x = 23,374,427.63
  5. Step 5: Solve for x
    x = 23,374,427.63/6,540.65
  6. Step 6: Final answer
    x = 3,573.72

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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.