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Finding the Fourth Proportional to 9,143.81, 12,609.73 and 5,559.38

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Solution

The fourth proportional to 9,143.81, 12,609.73 and 5,559.38 is: 7,666.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.81 : 12,609.73 = 5,559.38 : x
  2. Step 2: Convert to fraction form
    9,143.81/12,609.73 = 5,559.38/x
  3. Step 3: Cross multiply
    9,143.81x = 12,609.73 × 5,559.38
  4. Step 4: Simplify right side
    9,143.81x = 70,102,311.61
  5. Step 5: Solve for x
    x = 70,102,311.61/9,143.81
  6. Step 6: Final answer
    x = 7,666.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.