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Finding the Fourth Proportional to 9,501.34, 14,253.14 and 3,958.44

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Solution

The fourth proportional to 9,501.34, 14,253.14 and 3,958.44 is: 5,938.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,501.34 : 14,253.14 = 3,958.44 : x
  2. Step 2: Convert to fraction form
    9,501.34/14,253.14 = 3,958.44/x
  3. Step 3: Cross multiply
    9,501.34x = 14,253.14 × 3,958.44
  4. Step 4: Simplify right side
    9,501.34x = 56,420,199.50
  5. Step 5: Solve for x
    x = 56,420,199.50/9,501.34
  6. Step 6: Final answer
    x = 5,938.13

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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.