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Finding the Fourth Proportional to 9,464.54, 14,196.64 and 3,224.47

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Solution

The fourth proportional to 9,464.54, 14,196.64 and 3,224.47 is: 4,836.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.54 : 14,196.64 = 3,224.47 : x
  2. Step 2: Convert to fraction form
    9,464.54/14,196.64 = 3,224.47/x
  3. Step 3: Cross multiply
    9,464.54x = 14,196.64 × 3,224.47
  4. Step 4: Simplify right side
    9,464.54x = 45,776,639.78
  5. Step 5: Solve for x
    x = 45,776,639.78/9,464.54
  6. Step 6: Final answer
    x = 4,836.65

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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.