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Finding the Fourth Proportional to 9,887.92, 13,646.85 and 5,638.98

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Solution

The fourth proportional to 9,887.92, 13,646.85 and 5,638.98 is: 7,782.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.92 : 13,646.85 = 5,638.98 : x
  2. Step 2: Convert to fraction form
    9,887.92/13,646.85 = 5,638.98/x
  3. Step 3: Cross multiply
    9,887.92x = 13,646.85 × 5,638.98
  4. Step 4: Simplify right side
    9,887.92x = 76,954,314.21
  5. Step 5: Solve for x
    x = 76,954,314.21/9,887.92
  6. Step 6: Final answer
    x = 7,782.66

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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.