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Finding the Fourth Proportional to 9,443.16, 14,164.58 and 3,287

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Solution

The fourth proportional to 9,443.16, 14,164.58 and 3,287 is: 4,930.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,443.16 : 14,164.58 = 3,287 : x
  2. Step 2: Convert to fraction form
    9,443.16/14,164.58 = 3,287/x
  3. Step 3: Cross multiply
    9,443.16x = 14,164.58 × 3,287
  4. Step 4: Simplify right side
    9,443.16x = 46,558,974.46
  5. Step 5: Solve for x
    x = 46,558,974.46/9,443.16
  6. Step 6: Final answer
    x = 4,930.44

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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.