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Finding the Fourth Proportional to 9,905.34, 13,668.90 and 5,928.64

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Solution

The fourth proportional to 9,905.34, 13,668.90 and 5,928.64 is: 8,181.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.34 : 13,668.90 = 5,928.64 : x
  2. Step 2: Convert to fraction form
    9,905.34/13,668.90 = 5,928.64/x
  3. Step 3: Cross multiply
    9,905.34x = 13,668.90 × 5,928.64
  4. Step 4: Simplify right side
    9,905.34x = 81,037,987.30
  5. Step 5: Solve for x
    x = 81,037,987.30/9,905.34
  6. Step 6: Final answer
    x = 8,181.24

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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.