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Finding the Fourth Proportional to 9,944.40, 14,916.60 and 9,814.80

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Solution

The fourth proportional to 9,944.40, 14,916.60 and 9,814.80 is: 14,722.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,944.40 : 14,916.60 = 9,814.80 : x
  2. Step 2: Convert to fraction form
    9,944.40/14,916.60 = 9,814.80/x
  3. Step 3: Cross multiply
    9,944.40x = 14,916.60 × 9,814.80
  4. Step 4: Simplify right side
    9,944.40x = 146,403,445.68
  5. Step 5: Solve for x
    x = 146,403,445.68/9,944.40
  6. Step 6: Final answer
    x = 14,722.20

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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.