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Finding the Fourth Proportional to 9,333.83, 13,967.85 and 5,825.48

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Solution

The fourth proportional to 9,333.83, 13,967.85 and 5,825.48 is: 8,717.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,333.83 : 13,967.85 = 5,825.48 : x
  2. Step 2: Convert to fraction form
    9,333.83/13,967.85 = 5,825.48/x
  3. Step 3: Cross multiply
    9,333.83x = 13,967.85 × 5,825.48
  4. Step 4: Simplify right side
    9,333.83x = 81,369,440.08
  5. Step 5: Solve for x
    x = 81,369,440.08/9,333.83
  6. Step 6: Final answer
    x = 8,717.69

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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.