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Finding the Fourth Proportional to 9,233.69, 13,855.53 and 4,302.14

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Solution

The fourth proportional to 9,233.69, 13,855.53 and 4,302.14 is: 6,455.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.69 : 13,855.53 = 4,302.14 : x
  2. Step 2: Convert to fraction form
    9,233.69/13,855.53 = 4,302.14/x
  3. Step 3: Cross multiply
    9,233.69x = 13,855.53 × 4,302.14
  4. Step 4: Simplify right side
    9,233.69x = 59,608,429.83
  5. Step 5: Solve for x
    x = 59,608,429.83/9,233.69
  6. Step 6: Final answer
    x = 6,455.54

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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.