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Finding the Fourth Proportional to 6,292.74, 9,425.21 and 5,711.51

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Solution

The fourth proportional to 6,292.74, 9,425.21 and 5,711.51 is: 8,554.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.74 : 9,425.21 = 5,711.51 : x
  2. Step 2: Convert to fraction form
    6,292.74/9,425.21 = 5,711.51/x
  3. Step 3: Cross multiply
    6,292.74x = 9,425.21 × 5,711.51
  4. Step 4: Simplify right side
    6,292.74x = 53,832,208.30
  5. Step 5: Solve for x
    x = 53,832,208.30/6,292.74
  6. Step 6: Final answer
    x = 8,554.66

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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.