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Finding the Fourth Proportional to 9,586.35, 14,311.08 and 8,109.72

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Solution

The fourth proportional to 9,586.35, 14,311.08 and 8,109.72 is: 12,106.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.35 : 14,311.08 = 8,109.72 : x
  2. Step 2: Convert to fraction form
    9,586.35/14,311.08 = 8,109.72/x
  3. Step 3: Cross multiply
    9,586.35x = 14,311.08 × 8,109.72
  4. Step 4: Simplify right side
    9,586.35x = 116,058,851.70
  5. Step 5: Solve for x
    x = 116,058,851.70/9,586.35
  6. Step 6: Final answer
    x = 12,106.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.