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Finding the Fourth Proportional to 10,313.46, 14,196.44 and 8,984.84

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Solution

The fourth proportional to 10,313.46, 14,196.44 and 8,984.84 is: 12,367.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.46 : 14,196.44 = 8,984.84 : x
  2. Step 2: Convert to fraction form
    10,313.46/14,196.44 = 8,984.84/x
  3. Step 3: Cross multiply
    10,313.46x = 14,196.44 × 8,984.84
  4. Step 4: Simplify right side
    10,313.46x = 127,552,741.97
  5. Step 5: Solve for x
    x = 127,552,741.97/10,313.46
  6. Step 6: Final answer
    x = 12,367.60

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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.