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Finding the Fourth Proportional to 6,977.60, 9,627.72 and 4,145.84

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Solution

The fourth proportional to 6,977.60, 9,627.72 and 4,145.84 is: 5,720.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.60 : 9,627.72 = 4,145.84 : x
  2. Step 2: Convert to fraction form
    6,977.60/9,627.72 = 4,145.84/x
  3. Step 3: Cross multiply
    6,977.60x = 9,627.72 × 4,145.84
  4. Step 4: Simplify right side
    6,977.60x = 39,914,986.68
  5. Step 5: Solve for x
    x = 39,914,986.68/6,977.60
  6. Step 6: Final answer
    x = 5,720.45

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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.