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Finding the Fourth Proportional to 9,129.90, 13,682.70 and 6,529.80

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Solution

The fourth proportional to 9,129.90, 13,682.70 and 6,529.80 is: 9,786.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.90 : 13,682.70 = 6,529.80 : x
  2. Step 2: Convert to fraction form
    9,129.90/13,682.70 = 6,529.80/x
  3. Step 3: Cross multiply
    9,129.90x = 13,682.70 × 6,529.80
  4. Step 4: Simplify right side
    9,129.90x = 89,345,294.46
  5. Step 5: Solve for x
    x = 89,345,294.46/9,129.90
  6. Step 6: Final answer
    x = 9,786.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.