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Finding the Fourth Proportional to 9,141.14, 13,708.89 and 4,756.20

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Solution

The fourth proportional to 9,141.14, 13,708.89 and 4,756.20 is: 7,132.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.14 : 13,708.89 = 4,756.20 : x
  2. Step 2: Convert to fraction form
    9,141.14/13,708.89 = 4,756.20/x
  3. Step 3: Cross multiply
    9,141.14x = 13,708.89 × 4,756.20
  4. Step 4: Simplify right side
    9,141.14x = 65,202,222.62
  5. Step 5: Solve for x
    x = 65,202,222.62/9,141.14
  6. Step 6: Final answer
    x = 7,132.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.