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Finding the Fourth Proportional to 6,186.84, 9,277.38 and 3,590.52

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Solution

The fourth proportional to 6,186.84, 9,277.38 and 3,590.52 is: 5,384.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.84 : 9,277.38 = 3,590.52 : x
  2. Step 2: Convert to fraction form
    6,186.84/9,277.38 = 3,590.52/x
  3. Step 3: Cross multiply
    6,186.84x = 9,277.38 × 3,590.52
  4. Step 4: Simplify right side
    6,186.84x = 33,310,618.44
  5. Step 5: Solve for x
    x = 33,310,618.44/6,186.84
  6. Step 6: Final answer
    x = 5,384.11

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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.