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Finding the Fourth Proportional to 10,409.46, 14,361.03 and 6,631.95

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Solution

The fourth proportional to 10,409.46, 14,361.03 and 6,631.95 is: 9,149.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.46 : 14,361.03 = 6,631.95 : x
  2. Step 2: Convert to fraction form
    10,409.46/14,361.03 = 6,631.95/x
  3. Step 3: Cross multiply
    10,409.46x = 14,361.03 × 6,631.95
  4. Step 4: Simplify right side
    10,409.46x = 95,241,635.65
  5. Step 5: Solve for x
    x = 95,241,635.65/10,409.46
  6. Step 6: Final answer
    x = 9,149.52

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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.