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Finding the Fourth Proportional to 9,204.43, 13,802.54 and 3,356.94

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Solution

The fourth proportional to 9,204.43, 13,802.54 and 3,356.94 is: 5,033.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.43 : 13,802.54 = 3,356.94 : x
  2. Step 2: Convert to fraction form
    9,204.43/13,802.54 = 3,356.94/x
  3. Step 3: Cross multiply
    9,204.43x = 13,802.54 × 3,356.94
  4. Step 4: Simplify right side
    9,204.43x = 46,334,272.51
  5. Step 5: Solve for x
    x = 46,334,272.51/9,204.43
  6. Step 6: Final answer
    x = 5,033.91

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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.