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Finding the Fourth Proportional to 9,333.12, 13,999.68 and 6,402.54

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Solution

The fourth proportional to 9,333.12, 13,999.68 and 6,402.54 is: 9,603.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,333.12 : 13,999.68 = 6,402.54 : x
  2. Step 2: Convert to fraction form
    9,333.12/13,999.68 = 6,402.54/x
  3. Step 3: Cross multiply
    9,333.12x = 13,999.68 × 6,402.54
  4. Step 4: Simplify right side
    9,333.12x = 89,633,511.19
  5. Step 5: Solve for x
    x = 89,633,511.19/9,333.12
  6. Step 6: Final answer
    x = 9,603.81

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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.