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Finding the Fourth Proportional to 9,568.70, 14,312.55 and 8,588.60

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Solution

The fourth proportional to 9,568.70, 14,312.55 and 8,588.60 is: 12,846.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.70 : 14,312.55 = 8,588.60 : x
  2. Step 2: Convert to fraction form
    9,568.70/14,312.55 = 8,588.60/x
  3. Step 3: Cross multiply
    9,568.70x = 14,312.55 × 8,588.60
  4. Step 4: Simplify right side
    9,568.70x = 122,924,766.93
  5. Step 5: Solve for x
    x = 122,924,766.93/9,568.70
  6. Step 6: Final answer
    x = 12,846.55

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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.