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Finding the Fourth Proportional to 6,145.97, 9,218.99 and 1,528.97

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Solution

The fourth proportional to 6,145.97, 9,218.99 and 1,528.97 is: 2,293.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.97 : 9,218.99 = 1,528.97 : x
  2. Step 2: Convert to fraction form
    6,145.97/9,218.99 = 1,528.97/x
  3. Step 3: Cross multiply
    6,145.97x = 9,218.99 × 1,528.97
  4. Step 4: Simplify right side
    6,145.97x = 14,095,559.14
  5. Step 5: Solve for x
    x = 14,095,559.14/6,145.97
  6. Step 6: Final answer
    x = 2,293.46

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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.