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Finding the Fourth Proportional to 9,170.22, 13,750.17 and 2,928.77

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Solution

The fourth proportional to 9,170.22, 13,750.17 and 2,928.77 is: 4,391.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.22 : 13,750.17 = 2,928.77 : x
  2. Step 2: Convert to fraction form
    9,170.22/13,750.17 = 2,928.77/x
  3. Step 3: Cross multiply
    9,170.22x = 13,750.17 × 2,928.77
  4. Step 4: Simplify right side
    9,170.22x = 40,271,068.20
  5. Step 5: Solve for x
    x = 40,271,068.20/9,170.22
  6. Step 6: Final answer
    x = 4,391.50

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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.