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Finding the Fourth Proportional to 9,983,963.84, 13,776,684.54 and 5,632,796.12

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Solution

The fourth proportional to 9,983,963.84, 13,776,684.54 and 5,632,796.12 is: 7,772,589.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983,963.84 : 13,776,684.54 = 5,632,796.12 : x
  2. Step 2: Convert to fraction form
    9,983,963.84/13,776,684.54 = 5,632,796.12/x
  3. Step 3: Cross multiply
    9,983,963.84x = 13,776,684.54 × 5,632,796.12
  4. Step 4: Simplify right side
    9,983,963.84x = 77,601,255,223,375.98
  5. Step 5: Solve for x
    x = 77,601,255,223,375.98/9,983,963.84
  6. Step 6: Final answer
    x = 7,772,589.77

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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.