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Finding the Fourth Proportional to 6,647.64, 9,177.24 and 5,152.20

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Solution

The fourth proportional to 6,647.64, 9,177.24 and 5,152.20 is: 7,112.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.64 : 9,177.24 = 5,152.20 : x
  2. Step 2: Convert to fraction form
    6,647.64/9,177.24 = 5,152.20/x
  3. Step 3: Cross multiply
    6,647.64x = 9,177.24 × 5,152.20
  4. Step 4: Simplify right side
    6,647.64x = 47,282,975.93
  5. Step 5: Solve for x
    x = 47,282,975.93/6,647.64
  6. Step 6: Final answer
    x = 7,112.75

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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.