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Finding the Fourth Proportional to 9,709.16, 13,393.23 and 6,726.74

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Solution

The fourth proportional to 9,709.16, 13,393.23 and 6,726.74 is: 9,279.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.16 : 13,393.23 = 6,726.74 : x
  2. Step 2: Convert to fraction form
    9,709.16/13,393.23 = 6,726.74/x
  3. Step 3: Cross multiply
    9,709.16x = 13,393.23 × 6,726.74
  4. Step 4: Simplify right side
    9,709.16x = 90,092,775.97
  5. Step 5: Solve for x
    x = 90,092,775.97/9,709.16
  6. Step 6: Final answer
    x = 9,279.15

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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.