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Finding the Fourth Proportional to 9,174.15, 12,653.28 and 6,185.25

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Solution

The fourth proportional to 9,174.15, 12,653.28 and 6,185.25 is: 8,530.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.15 : 12,653.28 = 6,185.25 : x
  2. Step 2: Convert to fraction form
    9,174.15/12,653.28 = 6,185.25/x
  3. Step 3: Cross multiply
    9,174.15x = 12,653.28 × 6,185.25
  4. Step 4: Simplify right side
    9,174.15x = 78,263,700.12
  5. Step 5: Solve for x
    x = 78,263,700.12/9,174.15
  6. Step 6: Final answer
    x = 8,530.89

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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.