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Finding the Fourth Proportional to 9,968.71, 13,756.83 and 5,492.46

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Solution

The fourth proportional to 9,968.71, 13,756.83 and 5,492.46 is: 7,579.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968.71 : 13,756.83 = 5,492.46 : x
  2. Step 2: Convert to fraction form
    9,968.71/13,756.83 = 5,492.46/x
  3. Step 3: Cross multiply
    9,968.71x = 13,756.83 × 5,492.46
  4. Step 4: Simplify right side
    9,968.71x = 75,558,838.50
  5. Step 5: Solve for x
    x = 75,558,838.50/9,968.71
  6. Step 6: Final answer
    x = 7,579.60

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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.