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Finding the Fourth Proportional to 9,720.14, 13,419.90 and 7,711.76

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Solution

The fourth proportional to 9,720.14, 13,419.90 and 7,711.76 is: 10,647.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.14 : 13,419.90 = 7,711.76 : x
  2. Step 2: Convert to fraction form
    9,720.14/13,419.90 = 7,711.76/x
  3. Step 3: Cross multiply
    9,720.14x = 13,419.90 × 7,711.76
  4. Step 4: Simplify right side
    9,720.14x = 103,491,048.02
  5. Step 5: Solve for x
    x = 103,491,048.02/9,720.14
  6. Step 6: Final answer
    x = 10,647.07

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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.