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Finding the Fourth Proportional to 9,396.93, 14,095.50 and 2,471.43

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Solution

The fourth proportional to 9,396.93, 14,095.50 and 2,471.43 is: 3,707.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.93 : 14,095.50 = 2,471.43 : x
  2. Step 2: Convert to fraction form
    9,396.93/14,095.50 = 2,471.43/x
  3. Step 3: Cross multiply
    9,396.93x = 14,095.50 × 2,471.43
  4. Step 4: Simplify right side
    9,396.93x = 34,836,041.57
  5. Step 5: Solve for x
    x = 34,836,041.57/9,396.93
  6. Step 6: Final answer
    x = 3,707.17

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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.