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Finding the Fourth Proportional to 9,729.72, 14,599.44 and 3,888

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Solution

The fourth proportional to 9,729.72, 14,599.44 and 3,888 is: 5,833.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.72 : 14,599.44 = 3,888 : x
  2. Step 2: Convert to fraction form
    9,729.72/14,599.44 = 3,888/x
  3. Step 3: Cross multiply
    9,729.72x = 14,599.44 × 3,888
  4. Step 4: Simplify right side
    9,729.72x = 56,762,622.72
  5. Step 5: Solve for x
    x = 56,762,622.72/9,729.72
  6. Step 6: Final answer
    x = 5,833.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.