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Finding the Fourth Proportional to 9,339.86, 12,862.59 and 8,220.39

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Solution

The fourth proportional to 9,339.86, 12,862.59 and 8,220.39 is: 11,320.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,339.86 : 12,862.59 = 8,220.39 : x
  2. Step 2: Convert to fraction form
    9,339.86/12,862.59 = 8,220.39/x
  3. Step 3: Cross multiply
    9,339.86x = 12,862.59 × 8,220.39
  4. Step 4: Simplify right side
    9,339.86x = 105,735,506.21
  5. Step 5: Solve for x
    x = 105,735,506.21/9,339.86
  6. Step 6: Final answer
    x = 11,320.89

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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.