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Finding the Fourth Proportional to 6,188.32, 9,282.39 and 1,508.36

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Solution

The fourth proportional to 6,188.32, 9,282.39 and 1,508.36 is: 2,262.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.32 : 9,282.39 = 1,508.36 : x
  2. Step 2: Convert to fraction form
    6,188.32/9,282.39 = 1,508.36/x
  3. Step 3: Cross multiply
    6,188.32x = 9,282.39 × 1,508.36
  4. Step 4: Simplify right side
    6,188.32x = 14,001,182.01
  5. Step 5: Solve for x
    x = 14,001,182.01/6,188.32
  6. Step 6: Final answer
    x = 2,262.52

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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.