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Finding the Fourth Proportional to 9,657.69, 13,327.79 and 5,678.97

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Solution

The fourth proportional to 9,657.69, 13,327.79 and 5,678.97 is: 7,837.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.69 : 13,327.79 = 5,678.97 : x
  2. Step 2: Convert to fraction form
    9,657.69/13,327.79 = 5,678.97/x
  3. Step 3: Cross multiply
    9,657.69x = 13,327.79 × 5,678.97
  4. Step 4: Simplify right side
    9,657.69x = 75,688,091.18
  5. Step 5: Solve for x
    x = 75,688,091.18/9,657.69
  6. Step 6: Final answer
    x = 7,837.08

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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.