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Finding the Fourth Proportional to 9,968.94, 13,756.95 and 5,492.61

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Solution

The fourth proportional to 9,968.94, 13,756.95 and 5,492.61 is: 7,579.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968.94 : 13,756.95 = 5,492.61 : x
  2. Step 2: Convert to fraction form
    9,968.94/13,756.95 = 5,492.61/x
  3. Step 3: Cross multiply
    9,968.94x = 13,756.95 × 5,492.61
  4. Step 4: Simplify right side
    9,968.94x = 75,561,561.14
  5. Step 5: Solve for x
    x = 75,561,561.14/9,968.94
  6. Step 6: Final answer
    x = 7,579.70

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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.