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Finding the Fourth Proportional to 9,953.46, 14,927.02 and 3,288.72

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Solution

The fourth proportional to 9,953.46, 14,927.02 and 3,288.72 is: 4,932.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,953.46 : 14,927.02 = 3,288.72 : x
  2. Step 2: Convert to fraction form
    9,953.46/14,927.02 = 3,288.72/x
  3. Step 3: Cross multiply
    9,953.46x = 14,927.02 × 3,288.72
  4. Step 4: Simplify right side
    9,953.46x = 49,090,743.68
  5. Step 5: Solve for x
    x = 49,090,743.68/9,953.46
  6. Step 6: Final answer
    x = 4,932.03

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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.