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Finding the Fourth Proportional to 7,141,347.84, 9,855,287.04 and 3,922,083.84

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Solution

The fourth proportional to 7,141,347.84, 9,855,287.04 and 3,922,083.84 is: 5,412,600.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141,347.84 : 9,855,287.04 = 3,922,083.84 : x
  2. Step 2: Convert to fraction form
    7,141,347.84/9,855,287.04 = 3,922,083.84/x
  3. Step 3: Cross multiply
    7,141,347.84x = 9,855,287.04 × 3,922,083.84
  4. Step 4: Simplify right side
    7,141,347.84x = 38,653,262,038,145.43
  5. Step 5: Solve for x
    x = 38,653,262,038,145.43/7,141,347.84
  6. Step 6: Final answer
    x = 5,412,600.38

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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.