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Finding the Fourth Proportional to 9,578,410.80, 14,367,616.20 and 9,200,497.20

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Solution

The fourth proportional to 9,578,410.80, 14,367,616.20 and 9,200,497.20 is: 13,800,745.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578,410.80 : 14,367,616.20 = 9,200,497.20 : x
  2. Step 2: Convert to fraction form
    9,578,410.80/14,367,616.20 = 9,200,497.20/x
  3. Step 3: Cross multiply
    9,578,410.80x = 14,367,616.20 × 9,200,497.20
  4. Step 4: Simplify right side
    9,578,410.80x = 132,189,212,618,774.62
  5. Step 5: Solve for x
    x = 132,189,212,618,774.62/9,578,410.80
  6. Step 6: Final answer
    x = 13,800,745.80

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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.