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Finding the Fourth Proportional to 9,174.48, 12,659.76 and 5,195.52

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Solution

The fourth proportional to 9,174.48, 12,659.76 and 5,195.52 is: 7,169.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.48 : 12,659.76 = 5,195.52 : x
  2. Step 2: Convert to fraction form
    9,174.48/12,659.76 = 5,195.52/x
  3. Step 3: Cross multiply
    9,174.48x = 12,659.76 × 5,195.52
  4. Step 4: Simplify right side
    9,174.48x = 65,774,036.28
  5. Step 5: Solve for x
    x = 65,774,036.28/9,174.48
  6. Step 6: Final answer
    x = 7,169.24

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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.