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Finding the Fourth Proportional to 9,716.51, 13,408.88 and 5,524.76

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Solution

The fourth proportional to 9,716.51, 13,408.88 and 5,524.76 is: 7,624.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.51 : 13,408.88 = 5,524.76 : x
  2. Step 2: Convert to fraction form
    9,716.51/13,408.88 = 5,524.76/x
  3. Step 3: Cross multiply
    9,716.51x = 13,408.88 × 5,524.76
  4. Step 4: Simplify right side
    9,716.51x = 74,080,749.20
  5. Step 5: Solve for x
    x = 74,080,749.20/9,716.51
  6. Step 6: Final answer
    x = 7,624.22

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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.