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Finding the Fourth Proportional to 9,257.21, 13,879.63 and 5,099.16

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Solution

The fourth proportional to 9,257.21, 13,879.63 and 5,099.16 is: 7,645.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.21 : 13,879.63 = 5,099.16 : x
  2. Step 2: Convert to fraction form
    9,257.21/13,879.63 = 5,099.16/x
  3. Step 3: Cross multiply
    9,257.21x = 13,879.63 × 5,099.16
  4. Step 4: Simplify right side
    9,257.21x = 70,774,454.11
  5. Step 5: Solve for x
    x = 70,774,454.11/9,257.21
  6. Step 6: Final answer
    x = 7,645.33

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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.