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Finding the Fourth Proportional to 6,120.76, 9,177 and 3,345.16

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Solution

The fourth proportional to 6,120.76, 9,177 and 3,345.16 is: 5,015.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,120.76 : 9,177 = 3,345.16 : x
  2. Step 2: Convert to fraction form
    6,120.76/9,177 = 3,345.16/x
  3. Step 3: Cross multiply
    6,120.76x = 9,177 × 3,345.16
  4. Step 4: Simplify right side
    6,120.76x = 30,698,533.32
  5. Step 5: Solve for x
    x = 30,698,533.32/6,120.76
  6. Step 6: Final answer
    x = 5,015.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.