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Finding the Fourth Proportional to 7,033,896.92, 9,706,569.21 and 3,894,300.47

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Solution

The fourth proportional to 7,033,896.92, 9,706,569.21 and 3,894,300.47 is: 5,374,019.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033,896.92 : 9,706,569.21 = 3,894,300.47 : x
  2. Step 2: Convert to fraction form
    7,033,896.92/9,706,569.21 = 3,894,300.47/x
  3. Step 3: Cross multiply
    7,033,896.92x = 9,706,569.21 × 3,894,300.47
  4. Step 4: Simplify right side
    7,033,896.92x = 37,800,296,988,057.69
  5. Step 5: Solve for x
    x = 37,800,296,988,057.69/7,033,896.92
  6. Step 6: Final answer
    x = 5,374,019.18

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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.