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Finding the Fourth Proportional to 6,567.63, 9,063.42 and 3,878.64

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Solution

The fourth proportional to 6,567.63, 9,063.42 and 3,878.64 is: 5,352.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.63 : 9,063.42 = 3,878.64 : x
  2. Step 2: Convert to fraction form
    6,567.63/9,063.42 = 3,878.64/x
  3. Step 3: Cross multiply
    6,567.63x = 9,063.42 × 3,878.64
  4. Step 4: Simplify right side
    6,567.63x = 35,153,743.35
  5. Step 5: Solve for x
    x = 35,153,743.35/6,567.63
  6. Step 6: Final answer
    x = 5,352.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.