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Finding the Fourth Proportional to 6,642,843.20, 9,964,264.80 and 3,283,611.20

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Solution

The fourth proportional to 6,642,843.20, 9,964,264.80 and 3,283,611.20 is: 4,925,416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642,843.20 : 9,964,264.80 = 3,283,611.20 : x
  2. Step 2: Convert to fraction form
    6,642,843.20/9,964,264.80 = 3,283,611.20/x
  3. Step 3: Cross multiply
    6,642,843.20x = 9,964,264.80 × 3,283,611.20
  4. Step 4: Simplify right side
    6,642,843.20x = 32,718,771,497,045.77
  5. Step 5: Solve for x
    x = 32,718,771,497,045.77/6,642,843.20
  6. Step 6: Final answer
    x = 4,925,416.80

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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.