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Finding the Fourth Proportional to 9,608.54, 13,259.78 and 5,416.79

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Solution

The fourth proportional to 9,608.54, 13,259.78 and 5,416.79 is: 7,475.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.54 : 13,259.78 = 5,416.79 : x
  2. Step 2: Convert to fraction form
    9,608.54/13,259.78 = 5,416.79/x
  3. Step 3: Cross multiply
    9,608.54x = 13,259.78 × 5,416.79
  4. Step 4: Simplify right side
    9,608.54x = 71,825,350.32
  5. Step 5: Solve for x
    x = 71,825,350.32/9,608.54
  6. Step 6: Final answer
    x = 7,475.16

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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.