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Finding the Fourth Proportional to 6,962.36, 9,610.35 and 6,224.24

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Solution

The fourth proportional to 6,962.36, 9,610.35 and 6,224.24 is: 8,591.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962.36 : 9,610.35 = 6,224.24 : x
  2. Step 2: Convert to fraction form
    6,962.36/9,610.35 = 6,224.24/x
  3. Step 3: Cross multiply
    6,962.36x = 9,610.35 × 6,224.24
  4. Step 4: Simplify right side
    6,962.36x = 59,817,125.57
  5. Step 5: Solve for x
    x = 59,817,125.57/6,962.36
  6. Step 6: Final answer
    x = 8,591.51

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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.