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Finding the Fourth Proportional to 9,335.62, 14,007.90 and 5,824.72

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Solution

The fourth proportional to 9,335.62, 14,007.90 and 5,824.72 is: 8,739.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,335.62 : 14,007.90 = 5,824.72 : x
  2. Step 2: Convert to fraction form
    9,335.62/14,007.90 = 5,824.72/x
  3. Step 3: Cross multiply
    9,335.62x = 14,007.90 × 5,824.72
  4. Step 4: Simplify right side
    9,335.62x = 81,592,095.29
  5. Step 5: Solve for x
    x = 81,592,095.29/9,335.62
  6. Step 6: Final answer
    x = 8,739.87

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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.