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Finding the Fourth Proportional to 9,047.82, 13,569.59 and 5,100.83

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Solution

The fourth proportional to 9,047.82, 13,569.59 and 5,100.83 is: 7,650.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,047.82 : 13,569.59 = 5,100.83 : x
  2. Step 2: Convert to fraction form
    9,047.82/13,569.59 = 5,100.83/x
  3. Step 3: Cross multiply
    9,047.82x = 13,569.59 × 5,100.83
  4. Step 4: Simplify right side
    9,047.82x = 69,216,078.41
  5. Step 5: Solve for x
    x = 69,216,078.41/9,047.82
  6. Step 6: Final answer
    x = 7,650.03

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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.