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Finding the Fourth Proportional to 9,726.88, 13,422.86 and 5,419.94

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Solution

The fourth proportional to 9,726.88, 13,422.86 and 5,419.94 is: 7,479.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.88 : 13,422.86 = 5,419.94 : x
  2. Step 2: Convert to fraction form
    9,726.88/13,422.86 = 5,419.94/x
  3. Step 3: Cross multiply
    9,726.88x = 13,422.86 × 5,419.94
  4. Step 4: Simplify right side
    9,726.88x = 72,751,095.83
  5. Step 5: Solve for x
    x = 72,751,095.83/9,726.88
  6. Step 6: Final answer
    x = 7,479.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.