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Finding the Fourth Proportional to 9,739, 13,450.80 and 6,589.72

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Solution

The fourth proportional to 9,739, 13,450.80 and 6,589.72 is: 9,101.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739 : 13,450.80 = 6,589.72 : x
  2. Step 2: Convert to fraction form
    9,739/13,450.80 = 6,589.72/x
  3. Step 3: Cross multiply
    9,739x = 13,450.80 × 6,589.72
  4. Step 4: Simplify right side
    9,739x = 88,637,005.78
  5. Step 5: Solve for x
    x = 88,637,005.78/9,739
  6. Step 6: Final answer
    x = 9,101.24

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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.