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Finding the Fourth Proportional to 9,535.84, 14,297.82 and 3,691.12

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Solution

The fourth proportional to 9,535.84, 14,297.82 and 3,691.12 is: 5,534.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,535.84 : 14,297.82 = 3,691.12 : x
  2. Step 2: Convert to fraction form
    9,535.84/14,297.82 = 3,691.12/x
  3. Step 3: Cross multiply
    9,535.84x = 14,297.82 × 3,691.12
  4. Step 4: Simplify right side
    9,535.84x = 52,774,969.36
  5. Step 5: Solve for x
    x = 52,774,969.36/9,535.84
  6. Step 6: Final answer
    x = 5,534.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.