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Finding the Fourth Proportional to 6,978,463.67, 9,628,865.89 and 4,077,293.96

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Solution

The fourth proportional to 6,978,463.67, 9,628,865.89 and 4,077,293.96 is: 5,625,839.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978,463.67 : 9,628,865.89 = 4,077,293.96 : x
  2. Step 2: Convert to fraction form
    6,978,463.67/9,628,865.89 = 4,077,293.96/x
  3. Step 3: Cross multiply
    6,978,463.67x = 9,628,865.89 × 4,077,293.96
  4. Step 4: Simplify right side
    6,978,463.67x = 39,259,716,748,825.95
  5. Step 5: Solve for x
    x = 39,259,716,748,825.95/6,978,463.67
  6. Step 6: Final answer
    x = 5,625,839.52

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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.