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Finding the Fourth Proportional to 9,232.53, 13,853.41 and 4,302.56

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Solution

The fourth proportional to 9,232.53, 13,853.41 and 4,302.56 is: 6,455.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.53 : 13,853.41 = 4,302.56 : x
  2. Step 2: Convert to fraction form
    9,232.53/13,853.41 = 4,302.56/x
  3. Step 3: Cross multiply
    9,232.53x = 13,853.41 × 4,302.56
  4. Step 4: Simplify right side
    9,232.53x = 59,605,127.73
  5. Step 5: Solve for x
    x = 59,605,127.73/9,232.53
  6. Step 6: Final answer
    x = 6,455.99

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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.