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Finding the Fourth Proportional to 6,185.84, 9,269.02 and 4,783.68

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Solution

The fourth proportional to 6,185.84, 9,269.02 and 4,783.68 is: 7,167.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.84 : 9,269.02 = 4,783.68 : x
  2. Step 2: Convert to fraction form
    6,185.84/9,269.02 = 4,783.68/x
  3. Step 3: Cross multiply
    6,185.84x = 9,269.02 × 4,783.68
  4. Step 4: Simplify right side
    6,185.84x = 44,340,031.57
  5. Step 5: Solve for x
    x = 44,340,031.57/6,185.84
  6. Step 6: Final answer
    x = 7,167.99

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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.