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Finding the Fourth Proportional to 9,792.63, 13,515.96 and 6,017.78

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Solution

The fourth proportional to 9,792.63, 13,515.96 and 6,017.78 is: 8,305.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.63 : 13,515.96 = 6,017.78 : x
  2. Step 2: Convert to fraction form
    9,792.63/13,515.96 = 6,017.78/x
  3. Step 3: Cross multiply
    9,792.63x = 13,515.96 × 6,017.78
  4. Step 4: Simplify right side
    9,792.63x = 81,336,006.19
  5. Step 5: Solve for x
    x = 81,336,006.19/9,792.63
  6. Step 6: Final answer
    x = 8,305.84

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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.