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Finding the Fourth Proportional to 9,491.74, 13,099.18 and 5,300.26

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Solution

The fourth proportional to 9,491.74, 13,099.18 and 5,300.26 is: 7,314.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.74 : 13,099.18 = 5,300.26 : x
  2. Step 2: Convert to fraction form
    9,491.74/13,099.18 = 5,300.26/x
  3. Step 3: Cross multiply
    9,491.74x = 13,099.18 × 5,300.26
  4. Step 4: Simplify right side
    9,491.74x = 69,429,059.79
  5. Step 5: Solve for x
    x = 69,429,059.79/9,491.74
  6. Step 6: Final answer
    x = 7,314.68

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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.