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Finding the Fourth Proportional to 31,473.39, 47,210.50 and 9,287.09

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Solution

The fourth proportional to 31,473.39, 47,210.50 and 9,287.09 is: 13,930.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,473.39 : 47,210.50 = 9,287.09 : x
  2. Step 2: Convert to fraction form
    31,473.39/47,210.50 = 9,287.09/x
  3. Step 3: Cross multiply
    31,473.39x = 47,210.50 × 9,287.09
  4. Step 4: Simplify right side
    31,473.39x = 438,448,062.80
  5. Step 5: Solve for x
    x = 438,448,062.80/31,473.39
  6. Step 6: Final answer
    x = 13,930.75

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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.