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Finding the Fourth Proportional to 9,231.79, 13,856.91 and 4,858.46

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Solution

The fourth proportional to 9,231.79, 13,856.91 and 4,858.46 is: 7,292.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231.79 : 13,856.91 = 4,858.46 : x
  2. Step 2: Convert to fraction form
    9,231.79/13,856.91 = 4,858.46/x
  3. Step 3: Cross multiply
    9,231.79x = 13,856.91 × 4,858.46
  4. Step 4: Simplify right side
    9,231.79x = 67,323,242.96
  5. Step 5: Solve for x
    x = 67,323,242.96/9,231.79
  6. Step 6: Final answer
    x = 7,292.55

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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.