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Finding the Fourth Proportional to 9,247.96, 13,870.18 and 3,007.99

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Solution

The fourth proportional to 9,247.96, 13,870.18 and 3,007.99 is: 4,511.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,247.96 : 13,870.18 = 3,007.99 : x
  2. Step 2: Convert to fraction form
    9,247.96/13,870.18 = 3,007.99/x
  3. Step 3: Cross multiply
    9,247.96x = 13,870.18 × 3,007.99
  4. Step 4: Simplify right side
    9,247.96x = 41,721,362.74
  5. Step 5: Solve for x
    x = 41,721,362.74/9,247.96
  6. Step 6: Final answer
    x = 4,511.41

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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.