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Finding the Fourth Proportional to 9,182.44, 13,781.66 and 4,802.97

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Solution

The fourth proportional to 9,182.44, 13,781.66 and 4,802.97 is: 7,208.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.44 : 13,781.66 = 4,802.97 : x
  2. Step 2: Convert to fraction form
    9,182.44/13,781.66 = 4,802.97/x
  3. Step 3: Cross multiply
    9,182.44x = 13,781.66 × 4,802.97
  4. Step 4: Simplify right side
    9,182.44x = 66,192,899.53
  5. Step 5: Solve for x
    x = 66,192,899.53/9,182.44
  6. Step 6: Final answer
    x = 7,208.64

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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.