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Finding the Fourth Proportional to 9,200.96, 13,801.07 and 2,275.46

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Solution

The fourth proportional to 9,200.96, 13,801.07 and 2,275.46 is: 3,413.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.96 : 13,801.07 = 2,275.46 : x
  2. Step 2: Convert to fraction form
    9,200.96/13,801.07 = 2,275.46/x
  3. Step 3: Cross multiply
    9,200.96x = 13,801.07 × 2,275.46
  4. Step 4: Simplify right side
    9,200.96x = 31,403,702.36
  5. Step 5: Solve for x
    x = 31,403,702.36/9,200.96
  6. Step 6: Final answer
    x = 3,413.09

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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.