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Finding the Fourth Proportional to 9,881.50, 13,638.75 and 6,524.98

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Solution

The fourth proportional to 9,881.50, 13,638.75 and 6,524.98 is: 9,005.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.50 : 13,638.75 = 6,524.98 : x
  2. Step 2: Convert to fraction form
    9,881.50/13,638.75 = 6,524.98/x
  3. Step 3: Cross multiply
    9,881.50x = 13,638.75 × 6,524.98
  4. Step 4: Simplify right side
    9,881.50x = 88,992,570.98
  5. Step 5: Solve for x
    x = 88,992,570.98/9,881.50
  6. Step 6: Final answer
    x = 9,005.98

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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.