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Finding the Fourth Proportional to 9,471.54, 14,204.23 and 4,473.14

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Solution

The fourth proportional to 9,471.54, 14,204.23 and 4,473.14 is: 6,708.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.54 : 14,204.23 = 4,473.14 : x
  2. Step 2: Convert to fraction form
    9,471.54/14,204.23 = 4,473.14/x
  3. Step 3: Cross multiply
    9,471.54x = 14,204.23 × 4,473.14
  4. Step 4: Simplify right side
    9,471.54x = 63,537,473.87
  5. Step 5: Solve for x
    x = 63,537,473.87/9,471.54
  6. Step 6: Final answer
    x = 6,708.25

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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.