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Finding the Fourth Proportional to 9,288.59, 12,817.63 and 5,097.11

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Solution

The fourth proportional to 9,288.59, 12,817.63 and 5,097.11 is: 7,033.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288.59 : 12,817.63 = 5,097.11 : x
  2. Step 2: Convert to fraction form
    9,288.59/12,817.63 = 5,097.11/x
  3. Step 3: Cross multiply
    9,288.59x = 12,817.63 × 5,097.11
  4. Step 4: Simplify right side
    9,288.59x = 65,332,908.46
  5. Step 5: Solve for x
    x = 65,332,908.46/9,288.59
  6. Step 6: Final answer
    x = 7,033.67

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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.