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Finding the Fourth Proportional to 9,119, 12,584.23 and 4,927.25

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Solution

The fourth proportional to 9,119, 12,584.23 and 4,927.25 is: 6,799.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,119 : 12,584.23 = 4,927.25 : x
  2. Step 2: Convert to fraction form
    9,119/12,584.23 = 4,927.25/x
  3. Step 3: Cross multiply
    9,119x = 12,584.23 × 4,927.25
  4. Step 4: Simplify right side
    9,119x = 62,005,647.27
  5. Step 5: Solve for x
    x = 62,005,647.27/9,119
  6. Step 6: Final answer
    x = 6,799.61

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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.