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Finding the Fourth Proportional to 9,708.15, 14,562.23 and 3,471.15

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Solution

The fourth proportional to 9,708.15, 14,562.23 and 3,471.15 is: 5,206.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.15 : 14,562.23 = 3,471.15 : x
  2. Step 2: Convert to fraction form
    9,708.15/14,562.23 = 3,471.15/x
  3. Step 3: Cross multiply
    9,708.15x = 14,562.23 × 3,471.15
  4. Step 4: Simplify right side
    9,708.15x = 50,547,667.31
  5. Step 5: Solve for x
    x = 50,547,667.31/9,708.15
  6. Step 6: Final answer
    x = 5,206.73

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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.