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Finding the Fourth Proportional to 9,124.26, 13,686.71 and 7,816.85

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Solution

The fourth proportional to 9,124.26, 13,686.71 and 7,816.85 is: 11,725.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.26 : 13,686.71 = 7,816.85 : x
  2. Step 2: Convert to fraction form
    9,124.26/13,686.71 = 7,816.85/x
  3. Step 3: Cross multiply
    9,124.26x = 13,686.71 × 7,816.85
  4. Step 4: Simplify right side
    9,124.26x = 106,986,851.55
  5. Step 5: Solve for x
    x = 106,986,851.55/9,124.26
  6. Step 6: Final answer
    x = 11,725.54

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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.