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Finding the Fourth Proportional to 9,464.54, 14,196.74 and 2,443.95

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Solution

The fourth proportional to 9,464.54, 14,196.74 and 2,443.95 is: 3,665.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.54 : 14,196.74 = 2,443.95 : x
  2. Step 2: Convert to fraction form
    9,464.54/14,196.74 = 2,443.95/x
  3. Step 3: Cross multiply
    9,464.54x = 14,196.74 × 2,443.95
  4. Step 4: Simplify right side
    9,464.54x = 34,696,110.50
  5. Step 5: Solve for x
    x = 34,696,110.50/9,464.54
  6. Step 6: Final answer
    x = 3,665.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.