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Finding the Fourth Proportional to 6,233.22, 9,339.03 and 4,768.02

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Solution

The fourth proportional to 6,233.22, 9,339.03 and 4,768.02 is: 7,143.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.22 : 9,339.03 = 4,768.02 : x
  2. Step 2: Convert to fraction form
    6,233.22/9,339.03 = 4,768.02/x
  3. Step 3: Cross multiply
    6,233.22x = 9,339.03 × 4,768.02
  4. Step 4: Simplify right side
    6,233.22x = 44,528,681.82
  5. Step 5: Solve for x
    x = 44,528,681.82/6,233.22
  6. Step 6: Final answer
    x = 7,143.77

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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.