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Finding the Fourth Proportional to 9,133.74, 13,696.02 and 3,582.81

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Solution

The fourth proportional to 9,133.74, 13,696.02 and 3,582.81 is: 5,372.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133.74 : 13,696.02 = 3,582.81 : x
  2. Step 2: Convert to fraction form
    9,133.74/13,696.02 = 3,582.81/x
  3. Step 3: Cross multiply
    9,133.74x = 13,696.02 × 3,582.81
  4. Step 4: Simplify right side
    9,133.74x = 49,070,237.42
  5. Step 5: Solve for x
    x = 49,070,237.42/9,133.74
  6. Step 6: Final answer
    x = 5,372.41

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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.