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Finding the Fourth Proportional to 7,734.94, 10,702.34 and 6,742.29

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Solution

The fourth proportional to 7,734.94, 10,702.34 and 6,742.29 is: 9,328.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.94 : 10,702.34 = 6,742.29 : x
  2. Step 2: Convert to fraction form
    7,734.94/10,702.34 = 6,742.29/x
  3. Step 3: Cross multiply
    7,734.94x = 10,702.34 × 6,742.29
  4. Step 4: Simplify right side
    7,734.94x = 72,158,279.96
  5. Step 5: Solve for x
    x = 72,158,279.96/7,734.94
  6. Step 6: Final answer
    x = 9,328.87

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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.