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Finding the Fourth Proportional to 6,233.30, 9,349.95 and 1,616.30

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Solution

The fourth proportional to 6,233.30, 9,349.95 and 1,616.30 is: 2,424.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.30 : 9,349.95 = 1,616.30 : x
  2. Step 2: Convert to fraction form
    6,233.30/9,349.95 = 1,616.30/x
  3. Step 3: Cross multiply
    6,233.30x = 9,349.95 × 1,616.30
  4. Step 4: Simplify right side
    6,233.30x = 15,112,324.19
  5. Step 5: Solve for x
    x = 15,112,324.19/6,233.30
  6. Step 6: Final answer
    x = 2,424.45

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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.