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Finding the Fourth Proportional to 9,471.93, 14,204.28 and 3,145.62

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Solution

The fourth proportional to 9,471.93, 14,204.28 and 3,145.62 is: 4,717.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.93 : 14,204.28 = 3,145.62 : x
  2. Step 2: Convert to fraction form
    9,471.93/14,204.28 = 3,145.62/x
  3. Step 3: Cross multiply
    9,471.93x = 14,204.28 × 3,145.62
  4. Step 4: Simplify right side
    9,471.93x = 44,681,267.25
  5. Step 5: Solve for x
    x = 44,681,267.25/9,471.93
  6. Step 6: Final answer
    x = 4,717.23

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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.