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Finding the Fourth Proportional to 6,410,406.80, 9,596,947.80 and 6,223,782.80

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Solution

The fourth proportional to 6,410,406.80, 9,596,947.80 and 6,223,782.80 is: 9,317,555.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410,406.80 : 9,596,947.80 = 6,223,782.80 : x
  2. Step 2: Convert to fraction form
    6,410,406.80/9,596,947.80 = 6,223,782.80/x
  3. Step 3: Cross multiply
    6,410,406.80x = 9,596,947.80 × 6,223,782.80
  4. Step 4: Simplify right side
    6,410,406.80x = 59,729,318,650,137.84
  5. Step 5: Solve for x
    x = 59,729,318,650,137.84/6,410,406.80
  6. Step 6: Final answer
    x = 9,317,555.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.