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Finding the Fourth Proportional to 9,993,976.77, 13,791,692.55 and 5,410,298.14

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Solution

The fourth proportional to 9,993,976.77, 13,791,692.55 and 5,410,298.14 is: 7,466,213.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993,976.77 : 13,791,692.55 = 5,410,298.14 : x
  2. Step 2: Convert to fraction form
    9,993,976.77/13,791,692.55 = 5,410,298.14/x
  3. Step 3: Cross multiply
    9,993,976.77x = 13,791,692.55 × 5,410,298.14
  4. Step 4: Simplify right side
    9,993,976.77x = 74,617,168,550,716.86
  5. Step 5: Solve for x
    x = 74,617,168,550,716.86/9,993,976.77
  6. Step 6: Final answer
    x = 7,466,213.93

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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.