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Finding the Fourth Proportional to 9,906.84, 13,674.24 and 6,130.60

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Solution

The fourth proportional to 9,906.84, 13,674.24 and 6,130.60 is: 8,461.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.84 : 13,674.24 = 6,130.60 : x
  2. Step 2: Convert to fraction form
    9,906.84/13,674.24 = 6,130.60/x
  3. Step 3: Cross multiply
    9,906.84x = 13,674.24 × 6,130.60
  4. Step 4: Simplify right side
    9,906.84x = 83,831,295.74
  5. Step 5: Solve for x
    x = 83,831,295.74/9,906.84
  6. Step 6: Final answer
    x = 8,461.96

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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.