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Finding the Fourth Proportional to 9,814.71, 13,534.86 and 7,452.75

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Solution

The fourth proportional to 9,814.71, 13,534.86 and 7,452.75 is: 10,277.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.71 : 13,534.86 = 7,452.75 : x
  2. Step 2: Convert to fraction form
    9,814.71/13,534.86 = 7,452.75/x
  3. Step 3: Cross multiply
    9,814.71x = 13,534.86 × 7,452.75
  4. Step 4: Simplify right side
    9,814.71x = 100,871,927.87
  5. Step 5: Solve for x
    x = 100,871,927.87/9,814.71
  6. Step 6: Final answer
    x = 10,277.63

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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.