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Finding the Fourth Proportional to 9,735.12, 14,600.66 and 2,808

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Solution

The fourth proportional to 9,735.12, 14,600.66 and 2,808 is: 4,211.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.12 : 14,600.66 = 2,808 : x
  2. Step 2: Convert to fraction form
    9,735.12/14,600.66 = 2,808/x
  3. Step 3: Cross multiply
    9,735.12x = 14,600.66 × 2,808
  4. Step 4: Simplify right side
    9,735.12x = 40,998,639.24
  5. Step 5: Solve for x
    x = 40,998,639.24/9,735.12
  6. Step 6: Final answer
    x = 4,211.42

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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.