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Finding the Fourth Proportional to 9,857, 13,599.24 and 5,607.56

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Solution

The fourth proportional to 9,857, 13,599.24 and 5,607.56 is: 7,736.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857 : 13,599.24 = 5,607.56 : x
  2. Step 2: Convert to fraction form
    9,857/13,599.24 = 5,607.56/x
  3. Step 3: Cross multiply
    9,857x = 13,599.24 × 5,607.56
  4. Step 4: Simplify right side
    9,857x = 76,258,554.25
  5. Step 5: Solve for x
    x = 76,258,554.25/9,857
  6. Step 6: Final answer
    x = 7,736.49

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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.