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Finding the Fourth Proportional to 9,205.65, 13,810.20 and 5,043.37

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Solution

The fourth proportional to 9,205.65, 13,810.20 and 5,043.37 is: 7,565.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.65 : 13,810.20 = 5,043.37 : x
  2. Step 2: Convert to fraction form
    9,205.65/13,810.20 = 5,043.37/x
  3. Step 3: Cross multiply
    9,205.65x = 13,810.20 × 5,043.37
  4. Step 4: Simplify right side
    9,205.65x = 69,649,913.85
  5. Step 5: Solve for x
    x = 69,649,913.85/9,205.65
  6. Step 6: Final answer
    x = 7,565.99

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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.