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Finding the Fourth Proportional to 6,643,609.60, 9,965,414.40 and 6,311,833.60

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Solution

The fourth proportional to 6,643,609.60, 9,965,414.40 and 6,311,833.60 is: 9,467,750.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643,609.60 : 9,965,414.40 = 6,311,833.60 : x
  2. Step 2: Convert to fraction form
    6,643,609.60/9,965,414.40 = 6,311,833.60/x
  3. Step 3: Cross multiply
    6,643,609.60x = 9,965,414.40 × 6,311,833.60
  4. Step 4: Simplify right side
    6,643,609.60x = 62,900,037,447,843.84
  5. Step 5: Solve for x
    x = 62,900,037,447,843.84/6,643,609.60
  6. Step 6: Final answer
    x = 9,467,750.40

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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.