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Finding the Fourth Proportional to 9,118.99, 12,584.19 and 4,927.24

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Solution

The fourth proportional to 9,118.99, 12,584.19 and 4,927.24 is: 6,799.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,118.99 : 12,584.19 = 4,927.24 : x
  2. Step 2: Convert to fraction form
    9,118.99/12,584.19 = 4,927.24/x
  3. Step 3: Cross multiply
    9,118.99x = 12,584.19 × 4,927.24
  4. Step 4: Simplify right side
    9,118.99x = 62,005,324.34
  5. Step 5: Solve for x
    x = 62,005,324.34/9,118.99
  6. Step 6: Final answer
    x = 6,799.58

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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.