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Finding the Fourth Proportional to 9,486.74, 14,293.36 and 8,563.34

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Solution

The fourth proportional to 9,486.74, 14,293.36 and 8,563.34 is: 12,902.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.74 : 14,293.36 = 8,563.34 : x
  2. Step 2: Convert to fraction form
    9,486.74/14,293.36 = 8,563.34/x
  3. Step 3: Cross multiply
    9,486.74x = 14,293.36 × 8,563.34
  4. Step 4: Simplify right side
    9,486.74x = 122,398,858.61
  5. Step 5: Solve for x
    x = 122,398,858.61/9,486.74
  6. Step 6: Final answer
    x = 12,902.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.