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Finding the Fourth Proportional to 9,709.29, 13,393.40 and 6,726.87

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Solution

The fourth proportional to 9,709.29, 13,393.40 and 6,726.87 is: 9,279.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.29 : 13,393.40 = 6,726.87 : x
  2. Step 2: Convert to fraction form
    9,709.29/13,393.40 = 6,726.87/x
  3. Step 3: Cross multiply
    9,709.29x = 13,393.40 × 6,726.87
  4. Step 4: Simplify right side
    9,709.29x = 90,095,610.51
  5. Step 5: Solve for x
    x = 90,095,610.51/9,709.29
  6. Step 6: Final answer
    x = 9,279.32

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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.