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Finding the Fourth Proportional to 8,588.94, 12,887.73 and 6,402.06

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Solution

The fourth proportional to 8,588.94, 12,887.73 and 6,402.06 is: 9,606.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,588.94 : 12,887.73 = 6,402.06 : x
  2. Step 2: Convert to fraction form
    8,588.94/12,887.73 = 6,402.06/x
  3. Step 3: Cross multiply
    8,588.94x = 12,887.73 × 6,402.06
  4. Step 4: Simplify right side
    8,588.94x = 82,508,020.72
  5. Step 5: Solve for x
    x = 82,508,020.72/8,588.94
  6. Step 6: Final answer
    x = 9,606.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.