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Finding the Fourth Proportional to 9,968.44, 13,756.38 and 5,492.20

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Solution

The fourth proportional to 9,968.44, 13,756.38 and 5,492.20 is: 7,579.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968.44 : 13,756.38 = 5,492.20 : x
  2. Step 2: Convert to fraction form
    9,968.44/13,756.38 = 5,492.20/x
  3. Step 3: Cross multiply
    9,968.44x = 13,756.38 × 5,492.20
  4. Step 4: Simplify right side
    9,968.44x = 75,552,790.24
  5. Step 5: Solve for x
    x = 75,552,790.24/9,968.44
  6. Step 6: Final answer
    x = 7,579.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.