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Finding the Fourth Proportional to 6,178.25, 9,276.63 and 5,347.89

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Solution

The fourth proportional to 6,178.25, 9,276.63 and 5,347.89 is: 8,029.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.25 : 9,276.63 = 5,347.89 : x
  2. Step 2: Convert to fraction form
    6,178.25/9,276.63 = 5,347.89/x
  3. Step 3: Cross multiply
    6,178.25x = 9,276.63 × 5,347.89
  4. Step 4: Simplify right side
    6,178.25x = 49,610,396.81
  5. Step 5: Solve for x
    x = 49,610,396.81/6,178.25
  6. Step 6: Final answer
    x = 8,029.84

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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.