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Finding the Fourth Proportional to 9,885.44, 13,643.16 and 6,485.31

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Solution

The fourth proportional to 9,885.44, 13,643.16 and 6,485.31 is: 8,950.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.44 : 13,643.16 = 6,485.31 : x
  2. Step 2: Convert to fraction form
    9,885.44/13,643.16 = 6,485.31/x
  3. Step 3: Cross multiply
    9,885.44x = 13,643.16 × 6,485.31
  4. Step 4: Simplify right side
    9,885.44x = 88,480,121.98
  5. Step 5: Solve for x
    x = 88,480,121.98/9,885.44
  6. Step 6: Final answer
    x = 8,950.55

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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.