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Finding the Fourth Proportional to 6,187.10, 9,264.04 and 5,202.95

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Solution

The fourth proportional to 6,187.10, 9,264.04 and 5,202.95 is: 7,790.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.10 : 9,264.04 = 5,202.95 : x
  2. Step 2: Convert to fraction form
    6,187.10/9,264.04 = 5,202.95/x
  3. Step 3: Cross multiply
    6,187.10x = 9,264.04 × 5,202.95
  4. Step 4: Simplify right side
    6,187.10x = 48,200,277.59
  5. Step 5: Solve for x
    x = 48,200,277.59/6,187.10
  6. Step 6: Final answer
    x = 7,790.45

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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.