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Finding the Fourth Proportional to 9,246.96, 13,868.69 and 3,006.99

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Solution

The fourth proportional to 9,246.96, 13,868.69 and 3,006.99 is: 4,509.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.96 : 13,868.69 = 3,006.99 : x
  2. Step 2: Convert to fraction form
    9,246.96/13,868.69 = 3,006.99/x
  3. Step 3: Cross multiply
    9,246.96x = 13,868.69 × 3,006.99
  4. Step 4: Simplify right side
    9,246.96x = 41,702,997.11
  5. Step 5: Solve for x
    x = 41,702,997.11/9,246.96
  6. Step 6: Final answer
    x = 4,509.91

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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.