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Finding the Fourth Proportional to 9,416.54, 13,000.94 and 6,431.28

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Solution

The fourth proportional to 9,416.54, 13,000.94 and 6,431.28 is: 8,879.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.54 : 13,000.94 = 6,431.28 : x
  2. Step 2: Convert to fraction form
    9,416.54/13,000.94 = 6,431.28/x
  3. Step 3: Cross multiply
    9,416.54x = 13,000.94 × 6,431.28
  4. Step 4: Simplify right side
    9,416.54x = 83,612,685.40
  5. Step 5: Solve for x
    x = 83,612,685.40/9,416.54
  6. Step 6: Final answer
    x = 8,879.34

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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.