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Finding the Fourth Proportional to 9,133.84, 13,703.82 and 2,894.86

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Solution

The fourth proportional to 9,133.84, 13,703.82 and 2,894.86 is: 4,343.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133.84 : 13,703.82 = 2,894.86 : x
  2. Step 2: Convert to fraction form
    9,133.84/13,703.82 = 2,894.86/x
  3. Step 3: Cross multiply
    9,133.84x = 13,703.82 × 2,894.86
  4. Step 4: Simplify right side
    9,133.84x = 39,670,640.37
  5. Step 5: Solve for x
    x = 39,670,640.37/9,133.84
  6. Step 6: Final answer
    x = 4,343.26

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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.