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Finding the Fourth Proportional to 9,005.14, 12,409.90 and 6,482.80

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Solution

The fourth proportional to 9,005.14, 12,409.90 and 6,482.80 is: 8,933.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005.14 : 12,409.90 = 6,482.80 : x
  2. Step 2: Convert to fraction form
    9,005.14/12,409.90 = 6,482.80/x
  3. Step 3: Cross multiply
    9,005.14x = 12,409.90 × 6,482.80
  4. Step 4: Simplify right side
    9,005.14x = 80,450,899.72
  5. Step 5: Solve for x
    x = 80,450,899.72/9,005.14
  6. Step 6: Final answer
    x = 8,933.89

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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.