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Finding the Fourth Proportional to 7,177.92, 9,906.50 and 4,345.40

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Solution

The fourth proportional to 7,177.92, 9,906.50 and 4,345.40 is: 5,997.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.92 : 9,906.50 = 4,345.40 : x
  2. Step 2: Convert to fraction form
    7,177.92/9,906.50 = 4,345.40/x
  3. Step 3: Cross multiply
    7,177.92x = 9,906.50 × 4,345.40
  4. Step 4: Simplify right side
    7,177.92x = 43,047,705.10
  5. Step 5: Solve for x
    x = 43,047,705.10/7,177.92
  6. Step 6: Final answer
    x = 5,997.24

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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.