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Finding the Fourth Proportional to 6,114.80, 9,170.66 and 2,603.00

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Solution

The fourth proportional to 6,114.80, 9,170.66 and 2,603.00 is: 3,903.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.80 : 9,170.66 = 2,603.00 : x
  2. Step 2: Convert to fraction form
    6,114.80/9,170.66 = 2,603.00/x
  3. Step 3: Cross multiply
    6,114.80x = 9,170.66 × 2,603.00
  4. Step 4: Simplify right side
    6,114.80x = 23,871,257.41
  5. Step 5: Solve for x
    x = 23,871,257.41/6,114.80
  6. Step 6: Final answer
    x = 3,903.85

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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.