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Finding the Fourth Proportional to 35,682.12, 53,526.24 and 9,387

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Solution

The fourth proportional to 35,682.12, 53,526.24 and 9,387 is: 14,081.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,682.12 : 53,526.24 = 9,387 : x
  2. Step 2: Convert to fraction form
    35,682.12/53,526.24 = 9,387/x
  3. Step 3: Cross multiply
    35,682.12x = 53,526.24 × 9,387
  4. Step 4: Simplify right side
    35,682.12x = 502,450,814.88
  5. Step 5: Solve for x
    x = 502,450,814.88/35,682.12
  6. Step 6: Final answer
    x = 14,081.31

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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.