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Finding the Fourth Proportional to 7,066.14, 9,751.44 and 3,922.50

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Solution

The fourth proportional to 7,066.14, 9,751.44 and 3,922.50 is: 5,413.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,066.14 : 9,751.44 = 3,922.50 : x
  2. Step 2: Convert to fraction form
    7,066.14/9,751.44 = 3,922.50/x
  3. Step 3: Cross multiply
    7,066.14x = 9,751.44 × 3,922.50
  4. Step 4: Simplify right side
    7,066.14x = 38,250,023.40
  5. Step 5: Solve for x
    x = 38,250,023.40/7,066.14
  6. Step 6: Final answer
    x = 5,413.14

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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.