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Finding the Fourth Proportional to 9,847.26, 13,585.74 and 6,312.42

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Solution

The fourth proportional to 9,847.26, 13,585.74 and 6,312.42 is: 8,708.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.26 : 13,585.74 = 6,312.42 : x
  2. Step 2: Convert to fraction form
    9,847.26/13,585.74 = 6,312.42/x
  3. Step 3: Cross multiply
    9,847.26x = 13,585.74 × 6,312.42
  4. Step 4: Simplify right side
    9,847.26x = 85,758,896.89
  5. Step 5: Solve for x
    x = 85,758,896.89/9,847.26
  6. Step 6: Final answer
    x = 8,708.91

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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.