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Finding the Fourth Proportional to 7,122.22, 9,826.05 and 4,468.66

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Solution

The fourth proportional to 7,122.22, 9,826.05 and 4,468.66 is: 6,165.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.22 : 9,826.05 = 4,468.66 : x
  2. Step 2: Convert to fraction form
    7,122.22/9,826.05 = 4,468.66/x
  3. Step 3: Cross multiply
    7,122.22x = 9,826.05 × 4,468.66
  4. Step 4: Simplify right side
    7,122.22x = 43,909,276.59
  5. Step 5: Solve for x
    x = 43,909,276.59/7,122.22
  6. Step 6: Final answer
    x = 6,165.11

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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.