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Finding the Fourth Proportional to 9,102.36, 12,557.88 and 5,960.28

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Solution

The fourth proportional to 9,102.36, 12,557.88 and 5,960.28 is: 8,222.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.36 : 12,557.88 = 5,960.28 : x
  2. Step 2: Convert to fraction form
    9,102.36/12,557.88 = 5,960.28/x
  3. Step 3: Cross multiply
    9,102.36x = 12,557.88 × 5,960.28
  4. Step 4: Simplify right side
    9,102.36x = 74,848,481.01
  5. Step 5: Solve for x
    x = 74,848,481.01/9,102.36
  6. Step 6: Final answer
    x = 8,222.98

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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.