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Finding the Fourth Proportional to 9,188.85, 13,758.44 and 4,797.03

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Solution

The fourth proportional to 9,188.85, 13,758.44 and 4,797.03 is: 7,182.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.85 : 13,758.44 = 4,797.03 : x
  2. Step 2: Convert to fraction form
    9,188.85/13,758.44 = 4,797.03/x
  3. Step 3: Cross multiply
    9,188.85x = 13,758.44 × 4,797.03
  4. Step 4: Simplify right side
    9,188.85x = 65,999,625.45
  5. Step 5: Solve for x
    x = 65,999,625.45/9,188.85
  6. Step 6: Final answer
    x = 7,182.58

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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.