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Finding the Fourth Proportional to 9,594.45, 14,390.49 and 2,574.99

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Solution

The fourth proportional to 9,594.45, 14,390.49 and 2,574.99 is: 3,862.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.45 : 14,390.49 = 2,574.99 : x
  2. Step 2: Convert to fraction form
    9,594.45/14,390.49 = 2,574.99/x
  3. Step 3: Cross multiply
    9,594.45x = 14,390.49 × 2,574.99
  4. Step 4: Simplify right side
    9,594.45x = 37,055,367.85
  5. Step 5: Solve for x
    x = 37,055,367.85/9,594.45
  6. Step 6: Final answer
    x = 3,862.17

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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.