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Finding the Fourth Proportional to 9,066.76, 13,602.24 and 2,826.44

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Solution

The fourth proportional to 9,066.76, 13,602.24 and 2,826.44 is: 4,240.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,066.76 : 13,602.24 = 2,826.44 : x
  2. Step 2: Convert to fraction form
    9,066.76/13,602.24 = 2,826.44/x
  3. Step 3: Cross multiply
    9,066.76x = 13,602.24 × 2,826.44
  4. Step 4: Simplify right side
    9,066.76x = 38,445,915.23
  5. Step 5: Solve for x
    x = 38,445,915.23/9,066.76
  6. Step 6: Final answer
    x = 4,240.31

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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.