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Finding the Fourth Proportional to 9,953.28, 14,929.92 and 8,218.26

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Solution

The fourth proportional to 9,953.28, 14,929.92 and 8,218.26 is: 12,327.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,953.28 : 14,929.92 = 8,218.26 : x
  2. Step 2: Convert to fraction form
    9,953.28/14,929.92 = 8,218.26/x
  3. Step 3: Cross multiply
    9,953.28x = 14,929.92 × 8,218.26
  4. Step 4: Simplify right side
    9,953.28x = 122,697,964.34
  5. Step 5: Solve for x
    x = 122,697,964.34/9,953.28
  6. Step 6: Final answer
    x = 12,327.39

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