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Finding the Fourth Proportional to 9,285.68, 13,933.56 and 6,158

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Solution

The fourth proportional to 9,285.68, 13,933.56 and 6,158 is: 9,240.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285.68 : 13,933.56 = 6,158 : x
  2. Step 2: Convert to fraction form
    9,285.68/13,933.56 = 6,158/x
  3. Step 3: Cross multiply
    9,285.68x = 13,933.56 × 6,158
  4. Step 4: Simplify right side
    9,285.68x = 85,802,862.48
  5. Step 5: Solve for x
    x = 85,802,862.48/9,285.68
  6. Step 6: Final answer
    x = 9,240.34

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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.