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Finding the Fourth Proportional to 9,792.82, 13,515.08 and 5,814.30

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Solution

The fourth proportional to 9,792.82, 13,515.08 and 5,814.30 is: 8,024.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.82 : 13,515.08 = 5,814.30 : x
  2. Step 2: Convert to fraction form
    9,792.82/13,515.08 = 5,814.30/x
  3. Step 3: Cross multiply
    9,792.82x = 13,515.08 × 5,814.30
  4. Step 4: Simplify right side
    9,792.82x = 78,580,729.64
  5. Step 5: Solve for x
    x = 78,580,729.64/9,792.82
  6. Step 6: Final answer
    x = 8,024.32

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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.