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Finding the Fourth Proportional to 9,129.29, 13,683 and 5,423.54

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Solution

The fourth proportional to 9,129.29, 13,683 and 5,423.54 is: 8,128.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.29 : 13,683 = 5,423.54 : x
  2. Step 2: Convert to fraction form
    9,129.29/13,683 = 5,423.54/x
  3. Step 3: Cross multiply
    9,129.29x = 13,683 × 5,423.54
  4. Step 4: Simplify right side
    9,129.29x = 74,210,297.82
  5. Step 5: Solve for x
    x = 74,210,297.82/9,129.29
  6. Step 6: Final answer
    x = 8,128.81

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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.