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Finding the Fourth Proportional to 6,184.37, 9,265.74 and 5,151.02

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Solution

The fourth proportional to 6,184.37, 9,265.74 and 5,151.02 is: 7,717.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.37 : 9,265.74 = 5,151.02 : x
  2. Step 2: Convert to fraction form
    6,184.37/9,265.74 = 5,151.02/x
  3. Step 3: Cross multiply
    6,184.37x = 9,265.74 × 5,151.02
  4. Step 4: Simplify right side
    6,184.37x = 47,727,965.73
  5. Step 5: Solve for x
    x = 47,727,965.73/6,184.37
  6. Step 6: Final answer
    x = 7,717.52

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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.