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Finding the Fourth Proportional to 9,456.14, 13,047.86 and 5,476.56

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Solution

The fourth proportional to 9,456.14, 13,047.86 and 5,476.56 is: 7,556.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.14 : 13,047.86 = 5,476.56 : x
  2. Step 2: Convert to fraction form
    9,456.14/13,047.86 = 5,476.56/x
  3. Step 3: Cross multiply
    9,456.14x = 13,047.86 × 5,476.56
  4. Step 4: Simplify right side
    9,456.14x = 71,457,360.78
  5. Step 5: Solve for x
    x = 71,457,360.78/9,456.14
  6. Step 6: Final answer
    x = 7,556.72

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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.