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Finding the Fourth Proportional to 9,491.18, 13,097.88 and 5,242.11

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Solution

The fourth proportional to 9,491.18, 13,097.88 and 5,242.11 is: 7,234.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.18 : 13,097.88 = 5,242.11 : x
  2. Step 2: Convert to fraction form
    9,491.18/13,097.88 = 5,242.11/x
  3. Step 3: Cross multiply
    9,491.18x = 13,097.88 × 5,242.11
  4. Step 4: Simplify right side
    9,491.18x = 68,660,527.73
  5. Step 5: Solve for x
    x = 68,660,527.73/9,491.18
  6. Step 6: Final answer
    x = 7,234.14

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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.