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Finding the Fourth Proportional to 9,815.96, 13,544.54 and 6,039.74

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Solution

The fourth proportional to 9,815.96, 13,544.54 and 6,039.74 is: 8,333.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815.96 : 13,544.54 = 6,039.74 : x
  2. Step 2: Convert to fraction form
    9,815.96/13,544.54 = 6,039.74/x
  3. Step 3: Cross multiply
    9,815.96x = 13,544.54 × 6,039.74
  4. Step 4: Simplify right side
    9,815.96x = 81,805,500.02
  5. Step 5: Solve for x
    x = 81,805,500.02/9,815.96
  6. Step 6: Final answer
    x = 8,333.93

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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.