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Finding the Fourth Proportional to 9,491.39, 13,098.12 and 5,299.64

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Solution

The fourth proportional to 9,491.39, 13,098.12 and 5,299.64 is: 7,313.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.39 : 13,098.12 = 5,299.64 : x
  2. Step 2: Convert to fraction form
    9,491.39/13,098.12 = 5,299.64/x
  3. Step 3: Cross multiply
    9,491.39x = 13,098.12 × 5,299.64
  4. Step 4: Simplify right side
    9,491.39x = 69,415,255.19
  5. Step 5: Solve for x
    x = 69,415,255.19/9,491.39
  6. Step 6: Final answer
    x = 7,313.50

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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.