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Finding the Fourth Proportional to 9,663.54, 13,338.32 and 5,685.94

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Solution

The fourth proportional to 9,663.54, 13,338.32 and 5,685.94 is: 7,848.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.54 : 13,338.32 = 5,685.94 : x
  2. Step 2: Convert to fraction form
    9,663.54/13,338.32 = 5,685.94/x
  3. Step 3: Cross multiply
    9,663.54x = 13,338.32 × 5,685.94
  4. Step 4: Simplify right side
    9,663.54x = 75,840,800.44
  5. Step 5: Solve for x
    x = 75,840,800.44/9,663.54
  6. Step 6: Final answer
    x = 7,848.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.