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Finding the Fourth Proportional to 9,893.53, 14,842.70 and 2,968.03

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Solution

The fourth proportional to 9,893.53, 14,842.70 and 2,968.03 is: 4,452.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.53 : 14,842.70 = 2,968.03 : x
  2. Step 2: Convert to fraction form
    9,893.53/14,842.70 = 2,968.03/x
  3. Step 3: Cross multiply
    9,893.53x = 14,842.70 × 2,968.03
  4. Step 4: Simplify right side
    9,893.53x = 44,053,564.04
  5. Step 5: Solve for x
    x = 44,053,564.04/9,893.53
  6. Step 6: Final answer
    x = 4,452.76

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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.