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Finding the Fourth Proportional to 9,135.52, 13,704.72 and 2,894.08

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Solution

The fourth proportional to 9,135.52, 13,704.72 and 2,894.08 is: 4,341.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135.52 : 13,704.72 = 2,894.08 : x
  2. Step 2: Convert to fraction form
    9,135.52/13,704.72 = 2,894.08/x
  3. Step 3: Cross multiply
    9,135.52x = 13,704.72 × 2,894.08
  4. Step 4: Simplify right side
    9,135.52x = 39,662,556.06
  5. Step 5: Solve for x
    x = 39,662,556.06/9,135.52
  6. Step 6: Final answer
    x = 4,341.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.