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Finding the Fourth Proportional to 7,120.68, 9,825.80 and 4,137.14

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Solution

The fourth proportional to 7,120.68, 9,825.80 and 4,137.14 is: 5,708.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,120.68 : 9,825.80 = 4,137.14 : x
  2. Step 2: Convert to fraction form
    7,120.68/9,825.80 = 4,137.14/x
  3. Step 3: Cross multiply
    7,120.68x = 9,825.80 × 4,137.14
  4. Step 4: Simplify right side
    7,120.68x = 40,650,710.21
  5. Step 5: Solve for x
    x = 40,650,710.21/7,120.68
  6. Step 6: Final answer
    x = 5,708.82

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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.