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Finding the Fourth Proportional to 9,838.93, 14,760.27 and 3,177.21

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Solution

The fourth proportional to 9,838.93, 14,760.27 and 3,177.21 is: 4,766.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.93 : 14,760.27 = 3,177.21 : x
  2. Step 2: Convert to fraction form
    9,838.93/14,760.27 = 3,177.21/x
  3. Step 3: Cross multiply
    9,838.93x = 14,760.27 × 3,177.21
  4. Step 4: Simplify right side
    9,838.93x = 46,896,387.76
  5. Step 5: Solve for x
    x = 46,896,387.76/9,838.93
  6. Step 6: Final answer
    x = 4,766.41

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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.