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Finding the Fourth Proportional to 9,200.39, 13,802.62 and 3,356.98

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Solution

The fourth proportional to 9,200.39, 13,802.62 and 3,356.98 is: 5,036.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.39 : 13,802.62 = 3,356.98 : x
  2. Step 2: Convert to fraction form
    9,200.39/13,802.62 = 3,356.98/x
  3. Step 3: Cross multiply
    9,200.39x = 13,802.62 × 3,356.98
  4. Step 4: Simplify right side
    9,200.39x = 46,335,119.29
  5. Step 5: Solve for x
    x = 46,335,119.29/9,200.39
  6. Step 6: Final answer
    x = 5,036.21

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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.