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Finding the Fourth Proportional to 9,291.30, 13,909.65 and 5,994.66

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Solution

The fourth proportional to 9,291.30, 13,909.65 and 5,994.66 is: 8,974.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.30 : 13,909.65 = 5,994.66 : x
  2. Step 2: Convert to fraction form
    9,291.30/13,909.65 = 5,994.66/x
  3. Step 3: Cross multiply
    9,291.30x = 13,909.65 × 5,994.66
  4. Step 4: Simplify right side
    9,291.30x = 83,383,622.47
  5. Step 5: Solve for x
    x = 83,383,622.47/9,291.30
  6. Step 6: Final answer
    x = 8,974.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.