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Finding the Fourth Proportional to 6,971.50, 9,620.69 and 3,784.79

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Solution

The fourth proportional to 6,971.50, 9,620.69 and 3,784.79 is: 5,223.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.50 : 9,620.69 = 3,784.79 : x
  2. Step 2: Convert to fraction form
    6,971.50/9,620.69 = 3,784.79/x
  3. Step 3: Cross multiply
    6,971.50x = 9,620.69 × 3,784.79
  4. Step 4: Simplify right side
    6,971.50x = 36,412,291.31
  5. Step 5: Solve for x
    x = 36,412,291.31/6,971.50
  6. Step 6: Final answer
    x = 5,223.02

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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.