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Finding the Fourth Proportional to 9,935.48, 14,905.14 and 3,779

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Solution

The fourth proportional to 9,935.48, 14,905.14 and 3,779 is: 5,669.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,935.48 : 14,905.14 = 3,779 : x
  2. Step 2: Convert to fraction form
    9,935.48/14,905.14 = 3,779/x
  3. Step 3: Cross multiply
    9,935.48x = 14,905.14 × 3,779
  4. Step 4: Simplify right side
    9,935.48x = 56,326,524.06
  5. Step 5: Solve for x
    x = 56,326,524.06/9,935.48
  6. Step 6: Final answer
    x = 5,669.23

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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.