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Finding the Fourth Proportional to 9,491.89, 13,098.94 and 5,513.00

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Solution

The fourth proportional to 9,491.89, 13,098.94 and 5,513.00 is: 7,608.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.89 : 13,098.94 = 5,513.00 : x
  2. Step 2: Convert to fraction form
    9,491.89/13,098.94 = 5,513.00/x
  3. Step 3: Cross multiply
    9,491.89x = 13,098.94 × 5,513.00
  4. Step 4: Simplify right side
    9,491.89x = 72,214,446.74
  5. Step 5: Solve for x
    x = 72,214,446.74/9,491.89
  6. Step 6: Final answer
    x = 7,608.02

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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.