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Finding the Fourth Proportional to 6,428.10, 9,642.15 and 3,663.30

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Solution

The fourth proportional to 6,428.10, 9,642.15 and 3,663.30 is: 5,494.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.10 : 9,642.15 = 3,663.30 : x
  2. Step 2: Convert to fraction form
    6,428.10/9,642.15 = 3,663.30/x
  3. Step 3: Cross multiply
    6,428.10x = 9,642.15 × 3,663.30
  4. Step 4: Simplify right side
    6,428.10x = 35,322,088.10
  5. Step 5: Solve for x
    x = 35,322,088.10/6,428.10
  6. Step 6: Final answer
    x = 5,494.95

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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.