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Finding the Fourth Proportional to 9,233.93, 13,855.41 and 4,297.65

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Solution

The fourth proportional to 9,233.93, 13,855.41 and 4,297.65 is: 6,448.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.93 : 13,855.41 = 4,297.65 : x
  2. Step 2: Convert to fraction form
    9,233.93/13,855.41 = 4,297.65/x
  3. Step 3: Cross multiply
    9,233.93x = 13,855.41 × 4,297.65
  4. Step 4: Simplify right side
    9,233.93x = 59,545,702.79
  5. Step 5: Solve for x
    x = 59,545,702.79/9,233.93
  6. Step 6: Final answer
    x = 6,448.58

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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.