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Finding the Fourth Proportional to 6,962.56, 9,608.64 and 4,168

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Solution

The fourth proportional to 6,962.56, 9,608.64 and 4,168 is: 5,752.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962.56 : 9,608.64 = 4,168 : x
  2. Step 2: Convert to fraction form
    6,962.56/9,608.64 = 4,168/x
  3. Step 3: Cross multiply
    6,962.56x = 9,608.64 × 4,168
  4. Step 4: Simplify right side
    6,962.56x = 40,048,811.52
  5. Step 5: Solve for x
    x = 40,048,811.52/6,962.56
  6. Step 6: Final answer
    x = 5,752.02

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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.