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Finding the Fourth Proportional to 6,211.68, 9,307.08 and 5,982

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Solution

The fourth proportional to 6,211.68, 9,307.08 and 5,982 is: 8,962.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.68 : 9,307.08 = 5,982 : x
  2. Step 2: Convert to fraction form
    6,211.68/9,307.08 = 5,982/x
  3. Step 3: Cross multiply
    6,211.68x = 9,307.08 × 5,982
  4. Step 4: Simplify right side
    6,211.68x = 55,674,952.56
  5. Step 5: Solve for x
    x = 55,674,952.56/6,211.68
  6. Step 6: Final answer
    x = 8,962.95

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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.