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Finding the Fourth Proportional to 9,607.92, 14,415.36 and 3,768.52

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Solution

The fourth proportional to 9,607.92, 14,415.36 and 3,768.52 is: 5,654.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.92 : 14,415.36 = 3,768.52 : x
  2. Step 2: Convert to fraction form
    9,607.92/14,415.36 = 3,768.52/x
  3. Step 3: Cross multiply
    9,607.92x = 14,415.36 × 3,768.52
  4. Step 4: Simplify right side
    9,607.92x = 54,324,572.47
  5. Step 5: Solve for x
    x = 54,324,572.47/9,607.92
  6. Step 6: Final answer
    x = 5,654.14

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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.