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Finding the Fourth Proportional to 9,134.84, 13,704.36 and 2,894.84

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Solution

The fourth proportional to 9,134.84, 13,704.36 and 2,894.84 is: 4,342.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.84 : 13,704.36 = 2,894.84 : x
  2. Step 2: Convert to fraction form
    9,134.84/13,704.36 = 2,894.84/x
  3. Step 3: Cross multiply
    9,134.84x = 13,704.36 × 2,894.84
  4. Step 4: Simplify right side
    9,134.84x = 39,671,929.50
  5. Step 5: Solve for x
    x = 39,671,929.50/9,134.84
  6. Step 6: Final answer
    x = 4,342.93

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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.