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Finding the Fourth Proportional to 9,205.65, 13,820.52 and 5,464.26

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Solution

The fourth proportional to 9,205.65, 13,820.52 and 5,464.26 is: 8,203.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.65 : 13,820.52 = 5,464.26 : x
  2. Step 2: Convert to fraction form
    9,205.65/13,820.52 = 5,464.26/x
  3. Step 3: Cross multiply
    9,205.65x = 13,820.52 × 5,464.26
  4. Step 4: Simplify right side
    9,205.65x = 75,518,935.11
  5. Step 5: Solve for x
    x = 75,518,935.11/9,205.65
  6. Step 6: Final answer
    x = 8,203.54

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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.