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Finding the Fourth Proportional to 6,508.27, 9,762.53 and 2,348.59

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Solution

The fourth proportional to 6,508.27, 9,762.53 and 2,348.59 is: 3,522.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.27 : 9,762.53 = 2,348.59 : x
  2. Step 2: Convert to fraction form
    6,508.27/9,762.53 = 2,348.59/x
  3. Step 3: Cross multiply
    6,508.27x = 9,762.53 × 2,348.59
  4. Step 4: Simplify right side
    6,508.27x = 22,928,180.33
  5. Step 5: Solve for x
    x = 22,928,180.33/6,508.27
  6. Step 6: Final answer
    x = 3,522.93

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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.