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Finding the Fourth Proportional to 9,645.24, 13,314.98 and 7,256.12

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Solution

The fourth proportional to 9,645.24, 13,314.98 and 7,256.12 is: 10,016.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.24 : 13,314.98 = 7,256.12 : x
  2. Step 2: Convert to fraction form
    9,645.24/13,314.98 = 7,256.12/x
  3. Step 3: Cross multiply
    9,645.24x = 13,314.98 × 7,256.12
  4. Step 4: Simplify right side
    9,645.24x = 96,615,059.04
  5. Step 5: Solve for x
    x = 96,615,059.04/9,645.24
  6. Step 6: Final answer
    x = 10,016.87

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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.