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Finding the Fourth Proportional to 9,491, 13,098.22 and 5,299.34

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Solution

The fourth proportional to 9,491, 13,098.22 and 5,299.34 is: 7,313.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491 : 13,098.22 = 5,299.34 : x
  2. Step 2: Convert to fraction form
    9,491/13,098.22 = 5,299.34/x
  3. Step 3: Cross multiply
    9,491x = 13,098.22 × 5,299.34
  4. Step 4: Simplify right side
    9,491x = 69,411,921.17
  5. Step 5: Solve for x
    x = 69,411,921.17/9,491
  6. Step 6: Final answer
    x = 7,313.45

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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.