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Finding the Fourth Proportional to 9,463.69, 14,197.35 and 3,224.05

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Solution

The fourth proportional to 9,463.69, 14,197.35 and 3,224.05 is: 4,836.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.69 : 14,197.35 = 3,224.05 : x
  2. Step 2: Convert to fraction form
    9,463.69/14,197.35 = 3,224.05/x
  3. Step 3: Cross multiply
    9,463.69x = 14,197.35 × 3,224.05
  4. Step 4: Simplify right side
    9,463.69x = 45,773,013.66
  5. Step 5: Solve for x
    x = 45,773,013.66/9,463.69
  6. Step 6: Final answer
    x = 4,836.70

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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.