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Finding the Fourth Proportional to 9,608.59, 13,261.67 and 5,416.84

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Solution

The fourth proportional to 9,608.59, 13,261.67 and 5,416.84 is: 7,476.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.59 : 13,261.67 = 5,416.84 : x
  2. Step 2: Convert to fraction form
    9,608.59/13,261.67 = 5,416.84/x
  3. Step 3: Cross multiply
    9,608.59x = 13,261.67 × 5,416.84
  4. Step 4: Simplify right side
    9,608.59x = 71,836,344.52
  5. Step 5: Solve for x
    x = 71,836,344.52/9,608.59
  6. Step 6: Final answer
    x = 7,476.26

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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.