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Finding the Fourth Proportional to 9,586.53, 14,313.80 and 8,126.37

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Solution

The fourth proportional to 9,586.53, 14,313.80 and 8,126.37 is: 12,133.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.53 : 14,313.80 = 8,126.37 : x
  2. Step 2: Convert to fraction form
    9,586.53/14,313.80 = 8,126.37/x
  3. Step 3: Cross multiply
    9,586.53x = 14,313.80 × 8,126.37
  4. Step 4: Simplify right side
    9,586.53x = 116,319,255.22
  5. Step 5: Solve for x
    x = 116,319,255.22/9,586.53
  6. Step 6: Final answer
    x = 12,133.61

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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.