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Finding the Fourth Proportional to 9,838.75, 13,577.31 and 5,362.54

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Solution

The fourth proportional to 9,838.75, 13,577.31 and 5,362.54 is: 7,400.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.75 : 13,577.31 = 5,362.54 : x
  2. Step 2: Convert to fraction form
    9,838.75/13,577.31 = 5,362.54/x
  3. Step 3: Cross multiply
    9,838.75x = 13,577.31 × 5,362.54
  4. Step 4: Simplify right side
    9,838.75x = 72,808,867.97
  5. Step 5: Solve for x
    x = 72,808,867.97/9,838.75
  6. Step 6: Final answer
    x = 7,400.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.