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Finding the Fourth Proportional to 9,598.26, 13,241.07 and 5,616.91

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Solution

The fourth proportional to 9,598.26, 13,241.07 and 5,616.91 is: 7,748.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,598.26 : 13,241.07 = 5,616.91 : x
  2. Step 2: Convert to fraction form
    9,598.26/13,241.07 = 5,616.91/x
  3. Step 3: Cross multiply
    9,598.26x = 13,241.07 × 5,616.91
  4. Step 4: Simplify right side
    9,598.26x = 74,373,865.39
  5. Step 5: Solve for x
    x = 74,373,865.39/9,598.26
  6. Step 6: Final answer
    x = 7,748.68

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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.