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Finding the Fourth Proportional to 9,271.67, 12,795.39 and 5,494.01

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Solution

The fourth proportional to 9,271.67, 12,795.39 and 5,494.01 is: 7,582.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.67 : 12,795.39 = 5,494.01 : x
  2. Step 2: Convert to fraction form
    9,271.67/12,795.39 = 5,494.01/x
  3. Step 3: Cross multiply
    9,271.67x = 12,795.39 × 5,494.01
  4. Step 4: Simplify right side
    9,271.67x = 70,297,936.64
  5. Step 5: Solve for x
    x = 70,297,936.64/9,271.67
  6. Step 6: Final answer
    x = 7,582.02

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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.