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Finding the Fourth Proportional to 9,702.16, 13,384.92 and 5,974

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Solution

The fourth proportional to 9,702.16, 13,384.92 and 5,974 is: 8,241.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.16 : 13,384.92 = 5,974 : x
  2. Step 2: Convert to fraction form
    9,702.16/13,384.92 = 5,974/x
  3. Step 3: Cross multiply
    9,702.16x = 13,384.92 × 5,974
  4. Step 4: Simplify right side
    9,702.16x = 79,961,512.08
  5. Step 5: Solve for x
    x = 79,961,512.08/9,702.16
  6. Step 6: Final answer
    x = 8,241.62

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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.