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Finding the Fourth Proportional to 9,463.14, 14,186.46 and 3,913.02

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Solution

The fourth proportional to 9,463.14, 14,186.46 and 3,913.02 is: 5,866.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.14 : 14,186.46 = 3,913.02 : x
  2. Step 2: Convert to fraction form
    9,463.14/14,186.46 = 3,913.02/x
  3. Step 3: Cross multiply
    9,463.14x = 14,186.46 × 3,913.02
  4. Step 4: Simplify right side
    9,463.14x = 55,511,901.71
  5. Step 5: Solve for x
    x = 55,511,901.71/9,463.14
  6. Step 6: Final answer
    x = 5,866.12

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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.