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Finding the Fourth Proportional to 9,491.57, 13,098.30 and 5,242.90

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Solution

The fourth proportional to 9,491.57, 13,098.30 and 5,242.90 is: 7,235.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.57 : 13,098.30 = 5,242.90 : x
  2. Step 2: Convert to fraction form
    9,491.57/13,098.30 = 5,242.90/x
  3. Step 3: Cross multiply
    9,491.57x = 13,098.30 × 5,242.90
  4. Step 4: Simplify right side
    9,491.57x = 68,673,077.07
  5. Step 5: Solve for x
    x = 68,673,077.07/9,491.57
  6. Step 6: Final answer
    x = 7,235.17

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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.