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Finding the Fourth Proportional to 4,636.34, 6,961.42 and 4,567.14

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Solution

The fourth proportional to 4,636.34, 6,961.42 and 4,567.14 is: 6,857.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.34 : 6,961.42 = 4,567.14 : x
  2. Step 2: Convert to fraction form
    4,636.34/6,961.42 = 4,567.14/x
  3. Step 3: Cross multiply
    4,636.34x = 6,961.42 × 4,567.14
  4. Step 4: Simplify right side
    4,636.34x = 31,793,779.74
  5. Step 5: Solve for x
    x = 31,793,779.74/4,636.34
  6. Step 6: Final answer
    x = 6,857.52

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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.