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Finding the Fourth Proportional to 7,074.52, 9,762.37 and 3,887.75

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Solution

The fourth proportional to 7,074.52, 9,762.37 and 3,887.75 is: 5,364.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.52 : 9,762.37 = 3,887.75 : x
  2. Step 2: Convert to fraction form
    7,074.52/9,762.37 = 3,887.75/x
  3. Step 3: Cross multiply
    7,074.52x = 9,762.37 × 3,887.75
  4. Step 4: Simplify right side
    7,074.52x = 37,953,624.90
  5. Step 5: Solve for x
    x = 37,953,624.90/7,074.52
  6. Step 6: Final answer
    x = 5,364.83

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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.