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Finding the Fourth Proportional to 9,284.93, 12,813.53 and 6,638.66

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Solution

The fourth proportional to 9,284.93, 12,813.53 and 6,638.66 is: 9,161.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.93 : 12,813.53 = 6,638.66 : x
  2. Step 2: Convert to fraction form
    9,284.93/12,813.53 = 6,638.66/x
  3. Step 3: Cross multiply
    9,284.93x = 12,813.53 × 6,638.66
  4. Step 4: Simplify right side
    9,284.93x = 85,064,571.81
  5. Step 5: Solve for x
    x = 85,064,571.81/9,284.93
  6. Step 6: Final answer
    x = 9,161.58

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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.