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Finding the Fourth Proportional to 9,494.81, 14,242.11 and 2,569.31

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Solution

The fourth proportional to 9,494.81, 14,242.11 and 2,569.31 is: 3,853.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.81 : 14,242.11 = 2,569.31 : x
  2. Step 2: Convert to fraction form
    9,494.81/14,242.11 = 2,569.31/x
  3. Step 3: Cross multiply
    9,494.81x = 14,242.11 × 2,569.31
  4. Step 4: Simplify right side
    9,494.81x = 36,592,395.64
  5. Step 5: Solve for x
    x = 36,592,395.64/9,494.81
  6. Step 6: Final answer
    x = 3,853.94

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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.