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Finding the Fourth Proportional to 6,185.12, 9,266.87 and 5,151.77

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Solution

The fourth proportional to 6,185.12, 9,266.87 and 5,151.77 is: 7,718.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.12 : 9,266.87 = 5,151.77 : x
  2. Step 2: Convert to fraction form
    6,185.12/9,266.87 = 5,151.77/x
  3. Step 3: Cross multiply
    6,185.12x = 9,266.87 × 5,151.77
  4. Step 4: Simplify right side
    6,185.12x = 47,740,710.77
  5. Step 5: Solve for x
    x = 47,740,710.77/6,185.12
  6. Step 6: Final answer
    x = 7,718.65

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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.