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Finding the Fourth Proportional to 6,184.83, 9,266.37 and 5,151.45

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Solution

The fourth proportional to 6,184.83, 9,266.37 and 5,151.45 is: 7,718.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.83 : 9,266.37 = 5,151.45 : x
  2. Step 2: Convert to fraction form
    6,184.83/9,266.37 = 5,151.45/x
  3. Step 3: Cross multiply
    6,184.83x = 9,266.37 × 5,151.45
  4. Step 4: Simplify right side
    6,184.83x = 47,735,241.74
  5. Step 5: Solve for x
    x = 47,735,241.74/6,184.83
  6. Step 6: Final answer
    x = 7,718.12

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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.