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Finding the Fourth Proportional to 9,491.34, 13,097.30 and 5,511.80

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Solution

The fourth proportional to 9,491.34, 13,097.30 and 5,511.80 is: 7,605.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.34 : 13,097.30 = 5,511.80 : x
  2. Step 2: Convert to fraction form
    9,491.34/13,097.30 = 5,511.80/x
  3. Step 3: Cross multiply
    9,491.34x = 13,097.30 × 5,511.80
  4. Step 4: Simplify right side
    9,491.34x = 72,189,698.14
  5. Step 5: Solve for x
    x = 72,189,698.14/9,491.34
  6. Step 6: Final answer
    x = 7,605.85

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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.