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Finding the Fourth Proportional to 6,292.58, 9,438.83 and 1,612.58

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Solution

The fourth proportional to 6,292.58, 9,438.83 and 1,612.58 is: 2,418.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.58 : 9,438.83 = 1,612.58 : x
  2. Step 2: Convert to fraction form
    6,292.58/9,438.83 = 1,612.58/x
  3. Step 3: Cross multiply
    6,292.58x = 9,438.83 × 1,612.58
  4. Step 4: Simplify right side
    6,292.58x = 15,220,813.22
  5. Step 5: Solve for x
    x = 15,220,813.22/6,292.58
  6. Step 6: Final answer
    x = 2,418.85

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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.