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Finding the Fourth Proportional to 9,684.20, 14,558.70 and 8,258.60

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Solution

The fourth proportional to 9,684.20, 14,558.70 and 8,258.60 is: 12,415.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.20 : 14,558.70 = 8,258.60 : x
  2. Step 2: Convert to fraction form
    9,684.20/14,558.70 = 8,258.60/x
  3. Step 3: Cross multiply
    9,684.20x = 14,558.70 × 8,258.60
  4. Step 4: Simplify right side
    9,684.20x = 120,234,479.82
  5. Step 5: Solve for x
    x = 120,234,479.82/9,684.20
  6. Step 6: Final answer
    x = 12,415.53

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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.