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Finding the Fourth Proportional to 6,319.36, 9,478.26 and 1,702.72

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Solution

The fourth proportional to 6,319.36, 9,478.26 and 1,702.72 is: 2,553.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,319.36 : 9,478.26 = 1,702.72 : x
  2. Step 2: Convert to fraction form
    6,319.36/9,478.26 = 1,702.72/x
  3. Step 3: Cross multiply
    6,319.36x = 9,478.26 × 1,702.72
  4. Step 4: Simplify right side
    6,319.36x = 16,138,822.87
  5. Step 5: Solve for x
    x = 16,138,822.87/6,319.36
  6. Step 6: Final answer
    x = 2,553.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.