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Finding the Fourth Proportional to 6,698.06, 9,244.42 and 6,402.78

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Solution

The fourth proportional to 6,698.06, 9,244.42 and 6,402.78 is: 8,836.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.06 : 9,244.42 = 6,402.78 : x
  2. Step 2: Convert to fraction form
    6,698.06/9,244.42 = 6,402.78/x
  3. Step 3: Cross multiply
    6,698.06x = 9,244.42 × 6,402.78
  4. Step 4: Simplify right side
    6,698.06x = 59,189,987.49
  5. Step 5: Solve for x
    x = 59,189,987.49/6,698.06
  6. Step 6: Final answer
    x = 8,836.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.