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Finding the Fourth Proportional to 9,410.74, 14,171.09 and 6,962.78

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Solution

The fourth proportional to 9,410.74, 14,171.09 and 6,962.78 is: 10,484.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.74 : 14,171.09 = 6,962.78 : x
  2. Step 2: Convert to fraction form
    9,410.74/14,171.09 = 6,962.78/x
  3. Step 3: Cross multiply
    9,410.74x = 14,171.09 × 6,962.78
  4. Step 4: Simplify right side
    9,410.74x = 98,670,182.03
  5. Step 5: Solve for x
    x = 98,670,182.03/9,410.74
  6. Step 6: Final answer
    x = 10,484.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.