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Finding the Fourth Proportional to 7,074.86, 9,763.50 and 3,888.25

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Solution

The fourth proportional to 7,074.86, 9,763.50 and 3,888.25 is: 5,365.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.86 : 9,763.50 = 3,888.25 : x
  2. Step 2: Convert to fraction form
    7,074.86/9,763.50 = 3,888.25/x
  3. Step 3: Cross multiply
    7,074.86x = 9,763.50 × 3,888.25
  4. Step 4: Simplify right side
    7,074.86x = 37,962,902.68
  5. Step 5: Solve for x
    x = 37,962,902.68/7,074.86
  6. Step 6: Final answer
    x = 5,365.89

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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.