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Finding the Fourth Proportional to 9,852.47, 14,754.67 and 5,176.39

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Solution

The fourth proportional to 9,852.47, 14,754.67 and 5,176.39 is: 7,751.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.47 : 14,754.67 = 5,176.39 : x
  2. Step 2: Convert to fraction form
    9,852.47/14,754.67 = 5,176.39/x
  3. Step 3: Cross multiply
    9,852.47x = 14,754.67 × 5,176.39
  4. Step 4: Simplify right side
    9,852.47x = 76,375,900.36
  5. Step 5: Solve for x
    x = 76,375,900.36/9,852.47
  6. Step 6: Final answer
    x = 7,751.96

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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.