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Finding the Fourth Proportional to 6,534.96, 9,017.60 and 3,702.12

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Solution

The fourth proportional to 6,534.96, 9,017.60 and 3,702.12 is: 5,108.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.96 : 9,017.60 = 3,702.12 : x
  2. Step 2: Convert to fraction form
    6,534.96/9,017.60 = 3,702.12/x
  3. Step 3: Cross multiply
    6,534.96x = 9,017.60 × 3,702.12
  4. Step 4: Simplify right side
    6,534.96x = 33,384,237.31
  5. Step 5: Solve for x
    x = 33,384,237.31/6,534.96
  6. Step 6: Final answer
    x = 5,108.56

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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.