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Finding the Fourth Proportional to 9,533.46, 14,297.46 and 3,291.84

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Solution

The fourth proportional to 9,533.46, 14,297.46 and 3,291.84 is: 4,936.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.46 : 14,297.46 = 3,291.84 : x
  2. Step 2: Convert to fraction form
    9,533.46/14,297.46 = 3,291.84/x
  3. Step 3: Cross multiply
    9,533.46x = 14,297.46 × 3,291.84
  4. Step 4: Simplify right side
    9,533.46x = 47,064,950.73
  5. Step 5: Solve for x
    x = 47,064,950.73/9,533.46
  6. Step 6: Final answer
    x = 4,936.82

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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.