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Finding the Fourth Proportional to 9,202.88, 13,802.96 and 3,358.13

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Solution

The fourth proportional to 9,202.88, 13,802.96 and 3,358.13 is: 5,036.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.88 : 13,802.96 = 3,358.13 : x
  2. Step 2: Convert to fraction form
    9,202.88/13,802.96 = 3,358.13/x
  3. Step 3: Cross multiply
    9,202.88x = 13,802.96 × 3,358.13
  4. Step 4: Simplify right side
    9,202.88x = 46,352,054.56
  5. Step 5: Solve for x
    x = 46,352,054.56/9,202.88
  6. Step 6: Final answer
    x = 5,036.69

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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.