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Finding the Fourth Proportional to 9,854.85, 13,594.98 and 6,669.26

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Solution

The fourth proportional to 9,854.85, 13,594.98 and 6,669.26 is: 9,200.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.85 : 13,594.98 = 6,669.26 : x
  2. Step 2: Convert to fraction form
    9,854.85/13,594.98 = 6,669.26/x
  3. Step 3: Cross multiply
    9,854.85x = 13,594.98 × 6,669.26
  4. Step 4: Simplify right side
    9,854.85x = 90,668,456.31
  5. Step 5: Solve for x
    x = 90,668,456.31/9,854.85
  6. Step 6: Final answer
    x = 9,200.39

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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.