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Finding the Fourth Proportional to 9,048.26, 12,487.31 and 5,820.96

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Solution

The fourth proportional to 9,048.26, 12,487.31 and 5,820.96 is: 8,033.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,048.26 : 12,487.31 = 5,820.96 : x
  2. Step 2: Convert to fraction form
    9,048.26/12,487.31 = 5,820.96/x
  3. Step 3: Cross multiply
    9,048.26x = 12,487.31 × 5,820.96
  4. Step 4: Simplify right side
    9,048.26x = 72,688,154.01
  5. Step 5: Solve for x
    x = 72,688,154.01/9,048.26
  6. Step 6: Final answer
    x = 8,033.38

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Why These Related Problems?

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