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Finding the Fourth Proportional to 9,233.78, 13,855.30 and 4,303.80

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Solution

The fourth proportional to 9,233.78, 13,855.30 and 4,303.80 is: 6,457.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.78 : 13,855.30 = 4,303.80 : x
  2. Step 2: Convert to fraction form
    9,233.78/13,855.30 = 4,303.80/x
  3. Step 3: Cross multiply
    9,233.78x = 13,855.30 × 4,303.80
  4. Step 4: Simplify right side
    9,233.78x = 59,630,429.38
  5. Step 5: Solve for x
    x = 59,630,429.38/9,233.78
  6. Step 6: Final answer
    x = 6,457.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.