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Finding the Fourth Proportional to 9,852.70, 13,584.63 and 6,120.22

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Solution

The fourth proportional to 9,852.70, 13,584.63 and 6,120.22 is: 8,438.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.70 : 13,584.63 = 6,120.22 : x
  2. Step 2: Convert to fraction form
    9,852.70/13,584.63 = 6,120.22/x
  3. Step 3: Cross multiply
    9,852.70x = 13,584.63 × 6,120.22
  4. Step 4: Simplify right side
    9,852.70x = 83,140,924.22
  5. Step 5: Solve for x
    x = 83,140,924.22/9,852.70
  6. Step 6: Final answer
    x = 8,438.39

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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.