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Finding the Fourth Proportional to 9,228.96, 13,818.72 and 4,837.14

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Solution

The fourth proportional to 9,228.96, 13,818.72 and 4,837.14 is: 7,242.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.96 : 13,818.72 = 4,837.14 : x
  2. Step 2: Convert to fraction form
    9,228.96/13,818.72 = 4,837.14/x
  3. Step 3: Cross multiply
    9,228.96x = 13,818.72 × 4,837.14
  4. Step 4: Simplify right side
    9,228.96x = 66,843,083.26
  5. Step 5: Solve for x
    x = 66,843,083.26/9,228.96
  6. Step 6: Final answer
    x = 7,242.75

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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.