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Finding the Fourth Proportional to 6,188.35, 9,284.65 and 1,806.45

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Solution

The fourth proportional to 6,188.35, 9,284.65 and 1,806.45 is: 2,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.35 : 9,284.65 = 1,806.45 : x
  2. Step 2: Convert to fraction form
    6,188.35/9,284.65 = 1,806.45/x
  3. Step 3: Cross multiply
    6,188.35x = 9,284.65 × 1,806.45
  4. Step 4: Simplify right side
    6,188.35x = 16,772,255.99
  5. Step 5: Solve for x
    x = 16,772,255.99/6,188.35
  6. Step 6: Final answer
    x = 2,710.30

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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.