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Finding the Fourth Proportional to 9,288.76, 12,817.98 and 5,096.68

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Solution

The fourth proportional to 9,288.76, 12,817.98 and 5,096.68 is: 7,033.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288.76 : 12,817.98 = 5,096.68 : x
  2. Step 2: Convert to fraction form
    9,288.76/12,817.98 = 5,096.68/x
  3. Step 3: Cross multiply
    9,288.76x = 12,817.98 × 5,096.68
  4. Step 4: Simplify right side
    9,288.76x = 65,329,142.31
  5. Step 5: Solve for x
    x = 65,329,142.31/9,288.76
  6. Step 6: Final answer
    x = 7,033.14

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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.