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Finding the Fourth Proportional to 9,953.20, 13,729.80 and 5,760.88

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Solution

The fourth proportional to 9,953.20, 13,729.80 and 5,760.88 is: 7,946.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,953.20 : 13,729.80 = 5,760.88 : x
  2. Step 2: Convert to fraction form
    9,953.20/13,729.80 = 5,760.88/x
  3. Step 3: Cross multiply
    9,953.20x = 13,729.80 × 5,760.88
  4. Step 4: Simplify right side
    9,953.20x = 79,095,730.22
  5. Step 5: Solve for x
    x = 79,095,730.22/9,953.20
  6. Step 6: Final answer
    x = 7,946.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.