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Finding the Fourth Proportional to 9,471.38, 14,201.60 and 4,206.38

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Solution

The fourth proportional to 9,471.38, 14,201.60 and 4,206.38 is: 6,307.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.38 : 14,201.60 = 4,206.38 : x
  2. Step 2: Convert to fraction form
    9,471.38/14,201.60 = 4,206.38/x
  3. Step 3: Cross multiply
    9,471.38x = 14,201.60 × 4,206.38
  4. Step 4: Simplify right side
    9,471.38x = 59,737,234.17
  5. Step 5: Solve for x
    x = 59,737,234.17/9,471.38
  6. Step 6: Final answer
    x = 6,307.13

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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.