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Finding the Fourth Proportional to 6,135.35, 9,184.80 and 3,668.90

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Solution

The fourth proportional to 6,135.35, 9,184.80 and 3,668.90 is: 5,492.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,135.35 : 9,184.80 = 3,668.90 : x
  2. Step 2: Convert to fraction form
    6,135.35/9,184.80 = 3,668.90/x
  3. Step 3: Cross multiply
    6,135.35x = 9,184.80 × 3,668.90
  4. Step 4: Simplify right side
    6,135.35x = 33,698,112.72
  5. Step 5: Solve for x
    x = 33,698,112.72/6,135.35
  6. Step 6: Final answer
    x = 5,492.45

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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.