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Finding the Fourth Proportional to 9,781.37, 13,496.47 and 5,748.85

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Solution

The fourth proportional to 9,781.37, 13,496.47 and 5,748.85 is: 7,932.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.37 : 13,496.47 = 5,748.85 : x
  2. Step 2: Convert to fraction form
    9,781.37/13,496.47 = 5,748.85/x
  3. Step 3: Cross multiply
    9,781.37x = 13,496.47 × 5,748.85
  4. Step 4: Simplify right side
    9,781.37x = 77,589,133.45
  5. Step 5: Solve for x
    x = 77,589,133.45/9,781.37
  6. Step 6: Final answer
    x = 7,932.34

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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.