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Finding the Fourth Proportional to 9,097.49, 12,552.77 and 5,744.90

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Solution

The fourth proportional to 9,097.49, 12,552.77 and 5,744.90 is: 7,926.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.49 : 12,552.77 = 5,744.90 : x
  2. Step 2: Convert to fraction form
    9,097.49/12,552.77 = 5,744.90/x
  3. Step 3: Cross multiply
    9,097.49x = 12,552.77 × 5,744.90
  4. Step 4: Simplify right side
    9,097.49x = 72,114,418.81
  5. Step 5: Solve for x
    x = 72,114,418.81/9,097.49
  6. Step 6: Final answer
    x = 7,926.85

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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.