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Finding the Fourth Proportional to 9,005.99, 12,428.84 and 5,975.91

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Solution

The fourth proportional to 9,005.99, 12,428.84 and 5,975.91 is: 8,247.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005.99 : 12,428.84 = 5,975.91 : x
  2. Step 2: Convert to fraction form
    9,005.99/12,428.84 = 5,975.91/x
  3. Step 3: Cross multiply
    9,005.99x = 12,428.84 × 5,975.91
  4. Step 4: Simplify right side
    9,005.99x = 74,273,644.18
  5. Step 5: Solve for x
    x = 74,273,644.18/9,005.99
  6. Step 6: Final answer
    x = 8,247.14

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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.