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Finding the Fourth Proportional to 9,617, 13,273.90 and 5,427.68

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Solution

The fourth proportional to 9,617, 13,273.90 and 5,427.68 is: 7,491.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617 : 13,273.90 = 5,427.68 : x
  2. Step 2: Convert to fraction form
    9,617/13,273.90 = 5,427.68/x
  3. Step 3: Cross multiply
    9,617x = 13,273.90 × 5,427.68
  4. Step 4: Simplify right side
    9,617x = 72,046,481.55
  5. Step 5: Solve for x
    x = 72,046,481.55/9,617
  6. Step 6: Final answer
    x = 7,491.58

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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.