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Finding the Fourth Proportional to 9,909.48, 13,670.46 and 5,930.22

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Solution

The fourth proportional to 9,909.48, 13,670.46 and 5,930.22 is: 8,180.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.48 : 13,670.46 = 5,930.22 : x
  2. Step 2: Convert to fraction form
    9,909.48/13,670.46 = 5,930.22/x
  3. Step 3: Cross multiply
    9,909.48x = 13,670.46 × 5,930.22
  4. Step 4: Simplify right side
    9,909.48x = 81,068,835.30
  5. Step 5: Solve for x
    x = 81,068,835.30/9,909.48
  6. Step 6: Final answer
    x = 8,180.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.