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Finding the Fourth Proportional to 9,782.72, 13,496.46 and 7,236.57

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Solution

The fourth proportional to 9,782.72, 13,496.46 and 7,236.57 is: 9,983.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.72 : 13,496.46 = 7,236.57 : x
  2. Step 2: Convert to fraction form
    9,782.72/13,496.46 = 7,236.57/x
  3. Step 3: Cross multiply
    9,782.72x = 13,496.46 × 7,236.57
  4. Step 4: Simplify right side
    9,782.72x = 97,668,077.54
  5. Step 5: Solve for x
    x = 97,668,077.54/9,782.72
  6. Step 6: Final answer
    x = 9,983.74

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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.