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Finding the Fourth Proportional to 9,174.42, 13,759.68 and 2,598.84

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Solution

The fourth proportional to 9,174.42, 13,759.68 and 2,598.84 is: 3,897.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.42 : 13,759.68 = 2,598.84 : x
  2. Step 2: Convert to fraction form
    9,174.42/13,759.68 = 2,598.84/x
  3. Step 3: Cross multiply
    9,174.42x = 13,759.68 × 2,598.84
  4. Step 4: Simplify right side
    9,174.42x = 35,759,206.77
  5. Step 5: Solve for x
    x = 35,759,206.77/9,174.42
  6. Step 6: Final answer
    x = 3,897.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.