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Finding the Fourth Proportional to 6,821,503.86, 9,413,617.59 and 3,765,652.50

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Solution

The fourth proportional to 6,821,503.86, 9,413,617.59 and 3,765,652.50 is: 5,196,568.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821,503.86 : 9,413,617.59 = 3,765,652.50 : x
  2. Step 2: Convert to fraction form
    6,821,503.86/9,413,617.59 = 3,765,652.50/x
  3. Step 3: Cross multiply
    6,821,503.86x = 9,413,617.59 × 3,765,652.50
  4. Step 4: Simplify right side
    6,821,503.86x = 35,448,412,611,827.48
  5. Step 5: Solve for x
    x = 35,448,412,611,827.48/6,821,503.86
  6. Step 6: Final answer
    x = 5,196,568.58

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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.