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Finding the Fourth Proportional to 9,367.80, 14,051.36 and 2,347.87

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Solution

The fourth proportional to 9,367.80, 14,051.36 and 2,347.87 is: 3,521.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,367.80 : 14,051.36 = 2,347.87 : x
  2. Step 2: Convert to fraction form
    9,367.80/14,051.36 = 2,347.87/x
  3. Step 3: Cross multiply
    9,367.80x = 14,051.36 × 2,347.87
  4. Step 4: Simplify right side
    9,367.80x = 32,990,696.35
  5. Step 5: Solve for x
    x = 32,990,696.35/9,367.80
  6. Step 6: Final answer
    x = 3,521.71

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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.