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Finding the Fourth Proportional to 9,278.96, 13,893.53 and 7,802.73

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Solution

The fourth proportional to 9,278.96, 13,893.53 and 7,802.73 is: 11,683.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.96 : 13,893.53 = 7,802.73 : x
  2. Step 2: Convert to fraction form
    9,278.96/13,893.53 = 7,802.73/x
  3. Step 3: Cross multiply
    9,278.96x = 13,893.53 × 7,802.73
  4. Step 4: Simplify right side
    9,278.96x = 108,407,424.32
  5. Step 5: Solve for x
    x = 108,407,424.32/9,278.96
  6. Step 6: Final answer
    x = 11,683.15

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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.