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Finding the Fourth Proportional to 9,975.40, 13,766.64 and 5,726.47

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Solution

The fourth proportional to 9,975.40, 13,766.64 and 5,726.47 is: 7,902.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975.40 : 13,766.64 = 5,726.47 : x
  2. Step 2: Convert to fraction form
    9,975.40/13,766.64 = 5,726.47/x
  3. Step 3: Cross multiply
    9,975.40x = 13,766.64 × 5,726.47
  4. Step 4: Simplify right side
    9,975.40x = 78,834,220.88
  5. Step 5: Solve for x
    x = 78,834,220.88/9,975.40
  6. Step 6: Final answer
    x = 7,902.86

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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.