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Finding the Fourth Proportional to 9,964,478.02, 13,751,995.42 and 6,099,553.30

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Solution

The fourth proportional to 9,964,478.02, 13,751,995.42 and 6,099,553.30 is: 8,418,005.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964,478.02 : 13,751,995.42 = 6,099,553.30 : x
  2. Step 2: Convert to fraction form
    9,964,478.02/13,751,995.42 = 6,099,553.30/x
  3. Step 3: Cross multiply
    9,964,478.02x = 13,751,995.42 × 6,099,553.30
  4. Step 4: Simplify right side
    9,964,478.02x = 83,881,029,045,645.89
  5. Step 5: Solve for x
    x = 83,881,029,045,645.89/9,964,478.02
  6. Step 6: Final answer
    x = 8,418,005.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.