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Finding the Fourth Proportional to 9,586.98, 14,382.90 and 3,663.87

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Solution

The fourth proportional to 9,586.98, 14,382.90 and 3,663.87 is: 5,496.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.98 : 14,382.90 = 3,663.87 : x
  2. Step 2: Convert to fraction form
    9,586.98/14,382.90 = 3,663.87/x
  3. Step 3: Cross multiply
    9,586.98x = 14,382.90 × 3,663.87
  4. Step 4: Simplify right side
    9,586.98x = 52,697,075.82
  5. Step 5: Solve for x
    x = 52,697,075.82/9,586.98
  6. Step 6: Final answer
    x = 5,496.73

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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.