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Finding the Fourth Proportional to 9,686.57, 13,364.03 and 6,331.32

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Solution

The fourth proportional to 9,686.57, 13,364.03 and 6,331.32 is: 8,734.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.57 : 13,364.03 = 6,331.32 : x
  2. Step 2: Convert to fraction form
    9,686.57/13,364.03 = 6,331.32/x
  3. Step 3: Cross multiply
    9,686.57x = 13,364.03 × 6,331.32
  4. Step 4: Simplify right side
    9,686.57x = 84,611,967.23
  5. Step 5: Solve for x
    x = 84,611,967.23/9,686.57
  6. Step 6: Final answer
    x = 8,734.98

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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.