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Finding the Fourth Proportional to 6,905.59, 9,530.25 and 3,922.36

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Solution

The fourth proportional to 6,905.59, 9,530.25 and 3,922.36 is: 5,413.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.59 : 9,530.25 = 3,922.36 : x
  2. Step 2: Convert to fraction form
    6,905.59/9,530.25 = 3,922.36/x
  3. Step 3: Cross multiply
    6,905.59x = 9,530.25 × 3,922.36
  4. Step 4: Simplify right side
    6,905.59x = 37,381,004.13
  5. Step 5: Solve for x
    x = 37,381,004.13/6,905.59
  6. Step 6: Final answer
    x = 5,413.16

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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.