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Finding the Fourth Proportional to 9,491.69, 13,097.53 and 5,512.02

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Solution

The fourth proportional to 9,491.69, 13,097.53 and 5,512.02 is: 7,606.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.69 : 13,097.53 = 5,512.02 : x
  2. Step 2: Convert to fraction form
    9,491.69/13,097.53 = 5,512.02/x
  3. Step 3: Cross multiply
    9,491.69x = 13,097.53 × 5,512.02
  4. Step 4: Simplify right side
    9,491.69x = 72,193,833.53
  5. Step 5: Solve for x
    x = 72,193,833.53/9,491.69
  6. Step 6: Final answer
    x = 7,606.01

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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.