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Finding the Fourth Proportional to 9,097.50, 13,650.57 and 2,941.50

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Solution

The fourth proportional to 9,097.50, 13,650.57 and 2,941.50 is: 4,413.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.50 : 13,650.57 = 2,941.50 : x
  2. Step 2: Convert to fraction form
    9,097.50/13,650.57 = 2,941.50/x
  3. Step 3: Cross multiply
    9,097.50x = 13,650.57 × 2,941.50
  4. Step 4: Simplify right side
    9,097.50x = 40,153,151.66
  5. Step 5: Solve for x
    x = 40,153,151.66/9,097.50
  6. Step 6: Final answer
    x = 4,413.65

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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.