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Finding the Fourth Proportional to 6,535.84, 9,017.47 and 3,702.76

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Solution

The fourth proportional to 6,535.84, 9,017.47 and 3,702.76 is: 5,108.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.84 : 9,017.47 = 3,702.76 : x
  2. Step 2: Convert to fraction form
    6,535.84/9,017.47 = 3,702.76/x
  3. Step 3: Cross multiply
    6,535.84x = 9,017.47 × 3,702.76
  4. Step 4: Simplify right side
    6,535.84x = 33,389,517.96
  5. Step 5: Solve for x
    x = 33,389,517.96/6,535.84
  6. Step 6: Final answer
    x = 5,108.68

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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.