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Finding the Fourth Proportional to 9,491.51, 13,098.36 and 5,242.45

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Solution

The fourth proportional to 9,491.51, 13,098.36 and 5,242.45 is: 7,234.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.51 : 13,098.36 = 5,242.45 : x
  2. Step 2: Convert to fraction form
    9,491.51/13,098.36 = 5,242.45/x
  3. Step 3: Cross multiply
    9,491.51x = 13,098.36 × 5,242.45
  4. Step 4: Simplify right side
    9,491.51x = 68,667,497.38
  5. Step 5: Solve for x
    x = 68,667,497.38/9,491.51
  6. Step 6: Final answer
    x = 7,234.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.