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Finding the Fourth Proportional to 6,302.63, 9,455.51 and 2,605.92

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Solution

The fourth proportional to 6,302.63, 9,455.51 and 2,605.92 is: 3,909.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.63 : 9,455.51 = 2,605.92 : x
  2. Step 2: Convert to fraction form
    6,302.63/9,455.51 = 2,605.92/x
  3. Step 3: Cross multiply
    6,302.63x = 9,455.51 × 2,605.92
  4. Step 4: Simplify right side
    6,302.63x = 24,640,289.59
  5. Step 5: Solve for x
    x = 24,640,289.59/6,302.63
  6. Step 6: Final answer
    x = 3,909.53

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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.