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Finding the Fourth Proportional to 35,814.26, 53,721.32 and 9,519

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Solution

The fourth proportional to 35,814.26, 53,721.32 and 9,519 is: 14,278.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,814.26 : 53,721.32 = 9,519 : x
  2. Step 2: Convert to fraction form
    35,814.26/53,721.32 = 9,519/x
  3. Step 3: Cross multiply
    35,814.26x = 53,721.32 × 9,519
  4. Step 4: Simplify right side
    35,814.26x = 511,373,197.49
  5. Step 5: Solve for x
    x = 511,373,197.49/35,814.26
  6. Step 6: Final answer
    x = 14,278.48

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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.