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Finding the Fourth Proportional to 6,901.88, 9,524.59 and 3,758.06

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Solution

The fourth proportional to 6,901.88, 9,524.59 and 3,758.06 is: 5,186.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.88 : 9,524.59 = 3,758.06 : x
  2. Step 2: Convert to fraction form
    6,901.88/9,524.59 = 3,758.06/x
  3. Step 3: Cross multiply
    6,901.88x = 9,524.59 × 3,758.06
  4. Step 4: Simplify right side
    6,901.88x = 35,793,995.11
  5. Step 5: Solve for x
    x = 35,793,995.11/6,901.88
  6. Step 6: Final answer
    x = 5,186.13

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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.