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Finding the Fourth Proportional to 6,453.14, 9,663.30 and 6,296.40

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Solution

The fourth proportional to 6,453.14, 9,663.30 and 6,296.40 is: 9,428.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453.14 : 9,663.30 = 6,296.40 : x
  2. Step 2: Convert to fraction form
    6,453.14/9,663.30 = 6,296.40/x
  3. Step 3: Cross multiply
    6,453.14x = 9,663.30 × 6,296.40
  4. Step 4: Simplify right side
    6,453.14x = 60,844,002.12
  5. Step 5: Solve for x
    x = 60,844,002.12/6,453.14
  6. Step 6: Final answer
    x = 9,428.60

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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.