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Finding the Fourth Proportional to 6,703.72, 10,001.16 and 6,340.84

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Solution

The fourth proportional to 6,703.72, 10,001.16 and 6,340.84 is: 9,459.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,703.72 : 10,001.16 = 6,340.84 : x
  2. Step 2: Convert to fraction form
    6,703.72/10,001.16 = 6,340.84/x
  3. Step 3: Cross multiply
    6,703.72x = 10,001.16 × 6,340.84
  4. Step 4: Simplify right side
    6,703.72x = 63,415,755.37
  5. Step 5: Solve for x
    x = 63,415,755.37/6,703.72
  6. Step 6: Final answer
    x = 9,459.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.