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Finding the Fourth Proportional to 6,702.84, 9,250.34 and 3,870.74

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Solution

The fourth proportional to 6,702.84, 9,250.34 and 3,870.74 is: 5,341.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.84 : 9,250.34 = 3,870.74 : x
  2. Step 2: Convert to fraction form
    6,702.84/9,250.34 = 3,870.74/x
  3. Step 3: Cross multiply
    6,702.84x = 9,250.34 × 3,870.74
  4. Step 4: Simplify right side
    6,702.84x = 35,805,595.45
  5. Step 5: Solve for x
    x = 35,805,595.45/6,702.84
  6. Step 6: Final answer
    x = 5,341.85

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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.