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Finding the Fourth Proportional to 9,766.70, 14,674.11 and 6,258.22

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Solution

The fourth proportional to 9,766.70, 14,674.11 and 6,258.22 is: 9,402.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.70 : 14,674.11 = 6,258.22 : x
  2. Step 2: Convert to fraction form
    9,766.70/14,674.11 = 6,258.22/x
  3. Step 3: Cross multiply
    9,766.70x = 14,674.11 × 6,258.22
  4. Step 4: Simplify right side
    9,766.70x = 91,833,808.68
  5. Step 5: Solve for x
    x = 91,833,808.68/9,766.70
  6. Step 6: Final answer
    x = 9,402.75

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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.