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Finding the Fourth Proportional to 6,646.42, 9,170.16 and 4,289.94

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Solution

The fourth proportional to 6,646.42, 9,170.16 and 4,289.94 is: 5,918.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.42 : 9,170.16 = 4,289.94 : x
  2. Step 2: Convert to fraction form
    6,646.42/9,170.16 = 4,289.94/x
  3. Step 3: Cross multiply
    6,646.42x = 9,170.16 × 4,289.94
  4. Step 4: Simplify right side
    6,646.42x = 39,339,436.19
  5. Step 5: Solve for x
    x = 39,339,436.19/6,646.42
  6. Step 6: Final answer
    x = 5,918.89

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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.