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Finding the Fourth Proportional to 9,708.80, 14,574.13 and 3,869.51

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Solution

The fourth proportional to 9,708.80, 14,574.13 and 3,869.51 is: 5,808.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.80 : 14,574.13 = 3,869.51 : x
  2. Step 2: Convert to fraction form
    9,708.80/14,574.13 = 3,869.51/x
  3. Step 3: Cross multiply
    9,708.80x = 14,574.13 × 3,869.51
  4. Step 4: Simplify right side
    9,708.80x = 56,394,659.23
  5. Step 5: Solve for x
    x = 56,394,659.23/9,708.80
  6. Step 6: Final answer
    x = 5,808.62

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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.