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Finding the Fourth Proportional to 6,140.25, 9,210.39 and 1,523.25

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Solution

The fourth proportional to 6,140.25, 9,210.39 and 1,523.25 is: 2,284.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.25 : 9,210.39 = 1,523.25 : x
  2. Step 2: Convert to fraction form
    6,140.25/9,210.39 = 1,523.25/x
  3. Step 3: Cross multiply
    6,140.25x = 9,210.39 × 1,523.25
  4. Step 4: Simplify right side
    6,140.25x = 14,029,726.57
  5. Step 5: Solve for x
    x = 14,029,726.57/6,140.25
  6. Step 6: Final answer
    x = 2,284.88

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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.