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Finding the Fourth Proportional to 9,968.25, 13,756.81 and 5,492

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Solution

The fourth proportional to 9,968.25, 13,756.81 and 5,492 is: 7,579.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968.25 : 13,756.81 = 5,492 : x
  2. Step 2: Convert to fraction form
    9,968.25/13,756.81 = 5,492/x
  3. Step 3: Cross multiply
    9,968.25x = 13,756.81 × 5,492
  4. Step 4: Simplify right side
    9,968.25x = 75,552,400.52
  5. Step 5: Solve for x
    x = 75,552,400.52/9,968.25
  6. Step 6: Final answer
    x = 7,579.30

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