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Finding the Fourth Proportional to 6,187.78, 9,281.37 and 4,969.84

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Solution

The fourth proportional to 6,187.78, 9,281.37 and 4,969.84 is: 7,454.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.78 : 9,281.37 = 4,969.84 : x
  2. Step 2: Convert to fraction form
    6,187.78/9,281.37 = 4,969.84/x
  3. Step 3: Cross multiply
    6,187.78x = 9,281.37 × 4,969.84
  4. Step 4: Simplify right side
    6,187.78x = 46,126,923.88
  5. Step 5: Solve for x
    x = 46,126,923.88/6,187.78
  6. Step 6: Final answer
    x = 7,454.52

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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.