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Finding the Fourth Proportional to 9,446.38, 14,167.95 and 4,768.48

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Solution

The fourth proportional to 9,446.38, 14,167.95 and 4,768.48 is: 7,151.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.38 : 14,167.95 = 4,768.48 : x
  2. Step 2: Convert to fraction form
    9,446.38/14,167.95 = 4,768.48/x
  3. Step 3: Cross multiply
    9,446.38x = 14,167.95 × 4,768.48
  4. Step 4: Simplify right side
    9,446.38x = 67,559,586.22
  5. Step 5: Solve for x
    x = 67,559,586.22/9,446.38
  6. Step 6: Final answer
    x = 7,151.90

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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.