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Finding the Fourth Proportional to 9,211.29, 13,830.78 and 5,529.99

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Solution

The fourth proportional to 9,211.29, 13,830.78 and 5,529.99 is: 8,303.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.29 : 13,830.78 = 5,529.99 : x
  2. Step 2: Convert to fraction form
    9,211.29/13,830.78 = 5,529.99/x
  3. Step 3: Cross multiply
    9,211.29x = 13,830.78 × 5,529.99
  4. Step 4: Simplify right side
    9,211.29x = 76,484,075.09
  5. Step 5: Solve for x
    x = 76,484,075.09/9,211.29
  6. Step 6: Final answer
    x = 8,303.30

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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.