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Finding the Fourth Proportional to 6,188.48, 9,282.70 and 1,508.45

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Solution

The fourth proportional to 6,188.48, 9,282.70 and 1,508.45 is: 2,262.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.48 : 9,282.70 = 1,508.45 : x
  2. Step 2: Convert to fraction form
    6,188.48/9,282.70 = 1,508.45/x
  3. Step 3: Cross multiply
    6,188.48x = 9,282.70 × 1,508.45
  4. Step 4: Simplify right side
    6,188.48x = 14,002,470.39
  5. Step 5: Solve for x
    x = 14,002,470.39/6,188.48
  6. Step 6: Final answer
    x = 2,262.67

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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.