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Finding the Fourth Proportional to 9,892.20, 14,816.70 and 7,683.60

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Solution

The fourth proportional to 9,892.20, 14,816.70 and 7,683.60 is: 11,508.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.20 : 14,816.70 = 7,683.60 : x
  2. Step 2: Convert to fraction form
    9,892.20/14,816.70 = 7,683.60/x
  3. Step 3: Cross multiply
    9,892.20x = 14,816.70 × 7,683.60
  4. Step 4: Simplify right side
    9,892.20x = 113,845,596.12
  5. Step 5: Solve for x
    x = 113,845,596.12/9,892.20
  6. Step 6: Final answer
    x = 11,508.62

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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.