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Finding the Fourth Proportional to 6,407,205.84, 9,600,692.28 and 5,203,269.84

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Solution

The fourth proportional to 6,407,205.84, 9,600,692.28 and 5,203,269.84 is: 7,796,689.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407,205.84 : 9,600,692.28 = 5,203,269.84 : x
  2. Step 2: Convert to fraction form
    6,407,205.84/9,600,692.28 = 5,203,269.84/x
  3. Step 3: Cross multiply
    6,407,205.84x = 9,600,692.28 × 5,203,269.84
  4. Step 4: Simplify right side
    6,407,205.84x = 49,954,992,583,644.83
  5. Step 5: Solve for x
    x = 49,954,992,583,644.83/6,407,205.84
  6. Step 6: Final answer
    x = 7,796,689.20

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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.