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Finding the Fourth Proportional to 6,192.64, 9,301.11 and 4,808.76

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Solution

The fourth proportional to 6,192.64, 9,301.11 and 4,808.76 is: 7,222.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192.64 : 9,301.11 = 4,808.76 : x
  2. Step 2: Convert to fraction form
    6,192.64/9,301.11 = 4,808.76/x
  3. Step 3: Cross multiply
    6,192.64x = 9,301.11 × 4,808.76
  4. Step 4: Simplify right side
    6,192.64x = 44,726,805.72
  5. Step 5: Solve for x
    x = 44,726,805.72/6,192.64
  6. Step 6: Final answer
    x = 7,222.57

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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.