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Finding the Fourth Proportional to 9,129.36, 13,683.66 and 4,674.54

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Solution

The fourth proportional to 9,129.36, 13,683.66 and 4,674.54 is: 7,006.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.36 : 13,683.66 = 4,674.54 : x
  2. Step 2: Convert to fraction form
    9,129.36/13,683.66 = 4,674.54/x
  3. Step 3: Cross multiply
    9,129.36x = 13,683.66 × 4,674.54
  4. Step 4: Simplify right side
    9,129.36x = 63,964,816.02
  5. Step 5: Solve for x
    x = 63,964,816.02/9,129.36
  6. Step 6: Final answer
    x = 7,006.50

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Why These Related Problems?

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