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Finding the Fourth Proportional to 9,993,975.77, 13,791,691.17 and 5,410,297.14

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Solution

The fourth proportional to 9,993,975.77, 13,791,691.17 and 5,410,297.14 is: 7,466,212.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993,975.77 : 13,791,691.17 = 5,410,297.14 : x
  2. Step 2: Convert to fraction form
    9,993,975.77/13,791,691.17 = 5,410,297.14/x
  3. Step 3: Cross multiply
    9,993,975.77x = 13,791,691.17 × 5,410,297.14
  4. Step 4: Simplify right side
    9,993,975.77x = 74,617,147,292,814.25
  5. Step 5: Solve for x
    x = 74,617,147,292,814.25/9,993,975.77
  6. Step 6: Final answer
    x = 7,466,212.55

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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.