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Finding the Fourth Proportional to 9,709.35, 13,393.49 and 6,726.93

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Solution

The fourth proportional to 9,709.35, 13,393.49 and 6,726.93 is: 9,279.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.35 : 13,393.49 = 6,726.93 : x
  2. Step 2: Convert to fraction form
    9,709.35/13,393.49 = 6,726.93/x
  3. Step 3: Cross multiply
    9,709.35x = 13,393.49 × 6,726.93
  4. Step 4: Simplify right side
    9,709.35x = 90,097,027.79
  5. Step 5: Solve for x
    x = 90,097,027.79/9,709.35
  6. Step 6: Final answer
    x = 9,279.41

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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.