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Finding the Fourth Proportional to 6,821,505.86, 9,413,620.35 and 3,765,654.50

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Solution

The fourth proportional to 6,821,505.86, 9,413,620.35 and 3,765,654.50 is: 5,196,571.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821,505.86 : 9,413,620.35 = 3,765,654.50 : x
  2. Step 2: Convert to fraction form
    6,821,505.86/9,413,620.35 = 3,765,654.50/x
  3. Step 3: Cross multiply
    6,821,505.86x = 9,413,620.35 × 3,765,654.50
  4. Step 4: Simplify right side
    6,821,505.86x = 35,448,441,832,269.07
  5. Step 5: Solve for x
    x = 35,448,441,832,269.07/6,821,505.86
  6. Step 6: Final answer
    x = 5,196,571.34

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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.