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Finding the Fourth Proportional to 9,176.64, 13,765 and 4,244.84

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Solution

The fourth proportional to 9,176.64, 13,765 and 4,244.84 is: 6,367.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,176.64 : 13,765 = 4,244.84 : x
  2. Step 2: Convert to fraction form
    9,176.64/13,765 = 4,244.84/x
  3. Step 3: Cross multiply
    9,176.64x = 13,765 × 4,244.84
  4. Step 4: Simplify right side
    9,176.64x = 58,430,222.60
  5. Step 5: Solve for x
    x = 58,430,222.60/9,176.64
  6. Step 6: Final answer
    x = 6,367.28

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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.