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Finding the Fourth Proportional to 6,888.95, 9,506.78 and 3,745.13

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Solution

The fourth proportional to 6,888.95, 9,506.78 and 3,745.13 is: 5,168.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,888.95 : 9,506.78 = 3,745.13 : x
  2. Step 2: Convert to fraction form
    6,888.95/9,506.78 = 3,745.13/x
  3. Step 3: Cross multiply
    6,888.95x = 9,506.78 × 3,745.13
  4. Step 4: Simplify right side
    6,888.95x = 35,604,060.72
  5. Step 5: Solve for x
    x = 35,604,060.72/6,888.95
  6. Step 6: Final answer
    x = 5,168.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.