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Finding the Fourth Proportional to 9,137.92, 12,610.37 and 4,946.17

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Solution

The fourth proportional to 9,137.92, 12,610.37 and 4,946.17 is: 6,825.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.92 : 12,610.37 = 4,946.17 : x
  2. Step 2: Convert to fraction form
    9,137.92/12,610.37 = 4,946.17/x
  3. Step 3: Cross multiply
    9,137.92x = 12,610.37 × 4,946.17
  4. Step 4: Simplify right side
    9,137.92x = 62,372,992.71
  5. Step 5: Solve for x
    x = 62,372,992.71/9,137.92
  6. Step 6: Final answer
    x = 6,825.73

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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.