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Finding the Fourth Proportional to 9,476.64, 13,077.36 and 5,497.44

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Solution

The fourth proportional to 9,476.64, 13,077.36 and 5,497.44 is: 7,586.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.64 : 13,077.36 = 5,497.44 : x
  2. Step 2: Convert to fraction form
    9,476.64/13,077.36 = 5,497.44/x
  3. Step 3: Cross multiply
    9,476.64x = 13,077.36 × 5,497.44
  4. Step 4: Simplify right side
    9,476.64x = 71,892,001.96
  5. Step 5: Solve for x
    x = 71,892,001.96/9,476.64
  6. Step 6: Final answer
    x = 7,586.23

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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.