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Finding the Fourth Proportional to 6,657,828.22, 9,194,148.42 and 6,295,114.54

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Solution

The fourth proportional to 6,657,828.22, 9,194,148.42 and 6,295,114.54 is: 8,693,257.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657,828.22 : 9,194,148.42 = 6,295,114.54 : x
  2. Step 2: Convert to fraction form
    6,657,828.22/9,194,148.42 = 6,295,114.54/x
  3. Step 3: Cross multiply
    6,657,828.22x = 9,194,148.42 × 6,295,114.54
  4. Step 4: Simplify right side
    6,657,828.22x = 57,878,217,401,660.02
  5. Step 5: Solve for x
    x = 57,878,217,401,660.02/6,657,828.22
  6. Step 6: Final answer
    x = 8,693,257.84

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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.