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Finding the Fourth Proportional to 9,968.70, 13,756.33 and 5,492.64

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Solution

The fourth proportional to 9,968.70, 13,756.33 and 5,492.64 is: 7,579.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968.70 : 13,756.33 = 5,492.64 : x
  2. Step 2: Convert to fraction form
    9,968.70/13,756.33 = 5,492.64/x
  3. Step 3: Cross multiply
    9,968.70x = 13,756.33 × 5,492.64
  4. Step 4: Simplify right side
    9,968.70x = 75,558,626.86
  5. Step 5: Solve for x
    x = 75,558,626.86/9,968.70
  6. Step 6: Final answer
    x = 7,579.58

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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.