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Finding the Fourth Proportional to 9,300.22, 12,833.84 and 5,266.42

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Solution

The fourth proportional to 9,300.22, 12,833.84 and 5,266.42 is: 7,267.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,300.22 : 12,833.84 = 5,266.42 : x
  2. Step 2: Convert to fraction form
    9,300.22/12,833.84 = 5,266.42/x
  3. Step 3: Cross multiply
    9,300.22x = 12,833.84 × 5,266.42
  4. Step 4: Simplify right side
    9,300.22x = 67,588,301.15
  5. Step 5: Solve for x
    x = 67,588,301.15/9,300.22
  6. Step 6: Final answer
    x = 7,267.39

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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.