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Finding the Fourth Proportional to 9,726.96, 13,414.26 and 6,368.64

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Solution

The fourth proportional to 9,726.96, 13,414.26 and 6,368.64 is: 8,782.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.96 : 13,414.26 = 6,368.64 : x
  2. Step 2: Convert to fraction form
    9,726.96/13,414.26 = 6,368.64/x
  3. Step 3: Cross multiply
    9,726.96x = 13,414.26 × 6,368.64
  4. Step 4: Simplify right side
    9,726.96x = 85,430,592.81
  5. Step 5: Solve for x
    x = 85,430,592.81/9,726.96
  6. Step 6: Final answer
    x = 8,782.87

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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.