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Finding the Fourth Proportional to 9,716.40, 14,592.20 and 8,506.80

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Solution

The fourth proportional to 9,716.40, 14,592.20 and 8,506.80 is: 12,775.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.40 : 14,592.20 = 8,506.80 : x
  2. Step 2: Convert to fraction form
    9,716.40/14,592.20 = 8,506.80/x
  3. Step 3: Cross multiply
    9,716.40x = 14,592.20 × 8,506.80
  4. Step 4: Simplify right side
    9,716.40x = 124,132,926.96
  5. Step 5: Solve for x
    x = 124,132,926.96/9,716.40
  6. Step 6: Final answer
    x = 12,775.61

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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.