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Finding the Fourth Proportional to 6,881,343.74, 9,496,410.47 and 3,784,039.16

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Solution

The fourth proportional to 6,881,343.74, 9,496,410.47 and 3,784,039.16 is: 5,222,059.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881,343.74 : 9,496,410.47 = 3,784,039.16 : x
  2. Step 2: Convert to fraction form
    6,881,343.74/9,496,410.47 = 3,784,039.16/x
  3. Step 3: Cross multiply
    6,881,343.74x = 9,496,410.47 × 3,784,039.16
  4. Step 4: Simplify right side
    6,881,343.74x = 35,934,789,097,914.01
  5. Step 5: Solve for x
    x = 35,934,789,097,914.01/6,881,343.74
  6. Step 6: Final answer
    x = 5,222,059.88

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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.