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Finding the Fourth Proportional to 9,968.40, 14,938.20 and 8,499.60

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Solution

The fourth proportional to 9,968.40, 14,938.20 and 8,499.60 is: 12,737.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968.40 : 14,938.20 = 8,499.60 : x
  2. Step 2: Convert to fraction form
    9,968.40/14,938.20 = 8,499.60/x
  3. Step 3: Cross multiply
    9,968.40x = 14,938.20 × 8,499.60
  4. Step 4: Simplify right side
    9,968.40x = 126,968,724.72
  5. Step 5: Solve for x
    x = 126,968,724.72/9,968.40
  6. Step 6: Final answer
    x = 12,737.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.