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Finding the Fourth Proportional to 9,506.31, 14,259.87 and 2,932.35

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Solution

The fourth proportional to 9,506.31, 14,259.87 and 2,932.35 is: 4,398.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.31 : 14,259.87 = 2,932.35 : x
  2. Step 2: Convert to fraction form
    9,506.31/14,259.87 = 2,932.35/x
  3. Step 3: Cross multiply
    9,506.31x = 14,259.87 × 2,932.35
  4. Step 4: Simplify right side
    9,506.31x = 41,814,929.79
  5. Step 5: Solve for x
    x = 41,814,929.79/9,506.31
  6. Step 6: Final answer
    x = 4,398.65

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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.