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Finding the Fourth Proportional to 6,901.13, 9,524.63 and 4,108.25

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Solution

The fourth proportional to 6,901.13, 9,524.63 and 4,108.25 is: 5,670.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.13 : 9,524.63 = 4,108.25 : x
  2. Step 2: Convert to fraction form
    6,901.13/9,524.63 = 4,108.25/x
  3. Step 3: Cross multiply
    6,901.13x = 9,524.63 × 4,108.25
  4. Step 4: Simplify right side
    6,901.13x = 39,129,523.84
  5. Step 5: Solve for x
    x = 39,129,523.84/6,901.13
  6. Step 6: Final answer
    x = 5,670.02

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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.