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Finding the Fourth Proportional to 9,224.64, 13,829.40 and 6,308.64

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Solution

The fourth proportional to 9,224.64, 13,829.40 and 6,308.64 is: 9,457.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.64 : 13,829.40 = 6,308.64 : x
  2. Step 2: Convert to fraction form
    9,224.64/13,829.40 = 6,308.64/x
  3. Step 3: Cross multiply
    9,224.64x = 13,829.40 × 6,308.64
  4. Step 4: Simplify right side
    9,224.64x = 87,244,706.02
  5. Step 5: Solve for x
    x = 87,244,706.02/9,224.64
  6. Step 6: Final answer
    x = 9,457.79

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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.