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Finding the Fourth Proportional to 6,087.87, 9,130.93 and 1,645.80

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Solution

The fourth proportional to 6,087.87, 9,130.93 and 1,645.80 is: 2,468.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,087.87 : 9,130.93 = 1,645.80 : x
  2. Step 2: Convert to fraction form
    6,087.87/9,130.93 = 1,645.80/x
  3. Step 3: Cross multiply
    6,087.87x = 9,130.93 × 1,645.80
  4. Step 4: Simplify right side
    6,087.87x = 15,027,684.59
  5. Step 5: Solve for x
    x = 15,027,684.59/6,087.87
  6. Step 6: Final answer
    x = 2,468.46

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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.