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Finding the Fourth Proportional to 9,231.70, 13,842.66 and 4,031.50

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Solution

The fourth proportional to 9,231.70, 13,842.66 and 4,031.50 is: 6,045.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231.70 : 13,842.66 = 4,031.50 : x
  2. Step 2: Convert to fraction form
    9,231.70/13,842.66 = 4,031.50/x
  3. Step 3: Cross multiply
    9,231.70x = 13,842.66 × 4,031.50
  4. Step 4: Simplify right side
    9,231.70x = 55,806,683.79
  5. Step 5: Solve for x
    x = 55,806,683.79/9,231.70
  6. Step 6: Final answer
    x = 6,045.11

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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.