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Finding the Fourth Proportional to 9,510.98, 14,266.62 and 3,962.97

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Solution

The fourth proportional to 9,510.98, 14,266.62 and 3,962.97 is: 5,944.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.98 : 14,266.62 = 3,962.97 : x
  2. Step 2: Convert to fraction form
    9,510.98/14,266.62 = 3,962.97/x
  3. Step 3: Cross multiply
    9,510.98x = 14,266.62 × 3,962.97
  4. Step 4: Simplify right side
    9,510.98x = 56,538,187.06
  5. Step 5: Solve for x
    x = 56,538,187.06/9,510.98
  6. Step 6: Final answer
    x = 5,944.52

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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.