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Finding the Fourth Proportional to 9,588.81, 13,236.65 and 6,446.82

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Solution

The fourth proportional to 9,588.81, 13,236.65 and 6,446.82 is: 8,899.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.81 : 13,236.65 = 6,446.82 : x
  2. Step 2: Convert to fraction form
    9,588.81/13,236.65 = 6,446.82/x
  3. Step 3: Cross multiply
    9,588.81x = 13,236.65 × 6,446.82
  4. Step 4: Simplify right side
    9,588.81x = 85,334,316.07
  5. Step 5: Solve for x
    x = 85,334,316.07/9,588.81
  6. Step 6: Final answer
    x = 8,899.36

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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.