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Finding the Fourth Proportional to 6,301.35, 9,433.80 and 4,223.70

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Solution

The fourth proportional to 6,301.35, 9,433.80 and 4,223.70 is: 6,323.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.35 : 9,433.80 = 4,223.70 : x
  2. Step 2: Convert to fraction form
    6,301.35/9,433.80 = 4,223.70/x
  3. Step 3: Cross multiply
    6,301.35x = 9,433.80 × 4,223.70
  4. Step 4: Simplify right side
    6,301.35x = 39,845,541.06
  5. Step 5: Solve for x
    x = 39,845,541.06/6,301.35
  6. Step 6: Final answer
    x = 6,323.33

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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.