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Finding the Fourth Proportional to 9,997,633.44, 13,796,743.77 and 5,646,728.16

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Solution

The fourth proportional to 9,997,633.44, 13,796,743.77 and 5,646,728.16 is: 7,792,490.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997,633.44 : 13,796,743.77 = 5,646,728.16 : x
  2. Step 2: Convert to fraction form
    9,997,633.44/13,796,743.77 = 5,646,728.16/x
  3. Step 3: Cross multiply
    9,997,633.44x = 13,796,743.77 × 5,646,728.16
  4. Step 4: Simplify right side
    9,997,633.44x = 77,906,461,562,363.56
  5. Step 5: Solve for x
    x = 77,906,461,562,363.56/9,997,633.44
  6. Step 6: Final answer
    x = 7,792,490.30

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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.