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Finding the Fourth Proportional to 9,833.39, 14,725.80 and 7,328.57

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Solution

The fourth proportional to 9,833.39, 14,725.80 and 7,328.57 is: 10,974.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.39 : 14,725.80 = 7,328.57 : x
  2. Step 2: Convert to fraction form
    9,833.39/14,725.80 = 7,328.57/x
  3. Step 3: Cross multiply
    9,833.39x = 14,725.80 × 7,328.57
  4. Step 4: Simplify right side
    9,833.39x = 107,919,056.11
  5. Step 5: Solve for x
    x = 107,919,056.11/9,833.39
  6. Step 6: Final answer
    x = 10,974.76

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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.