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Finding the Fourth Proportional to 34,722.29, 52,086.51 and 9,762.56

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Solution

The fourth proportional to 34,722.29, 52,086.51 and 9,762.56 is: 14,644.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,722.29 : 52,086.51 = 9,762.56 : x
  2. Step 2: Convert to fraction form
    34,722.29/52,086.51 = 9,762.56/x
  3. Step 3: Cross multiply
    34,722.29x = 52,086.51 × 9,762.56
  4. Step 4: Simplify right side
    34,722.29x = 508,497,418.63
  5. Step 5: Solve for x
    x = 508,497,418.63/34,722.29
  6. Step 6: Final answer
    x = 14,644.70

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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.