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Finding the Fourth Proportional to 9,468.12, 14,203.56 and 2,893.44

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Solution

The fourth proportional to 9,468.12, 14,203.56 and 2,893.44 is: 4,340.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.12 : 14,203.56 = 2,893.44 : x
  2. Step 2: Convert to fraction form
    9,468.12/14,203.56 = 2,893.44/x
  3. Step 3: Cross multiply
    9,468.12x = 14,203.56 × 2,893.44
  4. Step 4: Simplify right side
    9,468.12x = 41,097,148.65
  5. Step 5: Solve for x
    x = 41,097,148.65/9,468.12
  6. Step 6: Final answer
    x = 4,340.58

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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.