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Finding the Fourth Proportional to 6,193.64, 9,302.61 and 4,809.76

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Solution

The fourth proportional to 6,193.64, 9,302.61 and 4,809.76 is: 7,224.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.64 : 9,302.61 = 4,809.76 : x
  2. Step 2: Convert to fraction form
    6,193.64/9,302.61 = 4,809.76/x
  3. Step 3: Cross multiply
    6,193.64x = 9,302.61 × 4,809.76
  4. Step 4: Simplify right side
    6,193.64x = 44,743,321.47
  5. Step 5: Solve for x
    x = 44,743,321.47/6,193.64
  6. Step 6: Final answer
    x = 7,224.08

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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.