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Finding the Fourth Proportional to 6,146.16, 9,219 and 1,763.60

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Solution

The fourth proportional to 6,146.16, 9,219 and 1,763.60 is: 2,645.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.16 : 9,219 = 1,763.60 : x
  2. Step 2: Convert to fraction form
    6,146.16/9,219 = 1,763.60/x
  3. Step 3: Cross multiply
    6,146.16x = 9,219 × 1,763.60
  4. Step 4: Simplify right side
    6,146.16x = 16,258,628.40
  5. Step 5: Solve for x
    x = 16,258,628.40/6,146.16
  6. Step 6: Final answer
    x = 2,645.33

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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.