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Finding the Fourth Proportional to 9,640.80, 14,383.40 and 8,588.98

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Solution

The fourth proportional to 9,640.80, 14,383.40 and 8,588.98 is: 12,814.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.80 : 14,383.40 = 8,588.98 : x
  2. Step 2: Convert to fraction form
    9,640.80/14,383.40 = 8,588.98/x
  3. Step 3: Cross multiply
    9,640.80x = 14,383.40 × 8,588.98
  4. Step 4: Simplify right side
    9,640.80x = 123,538,734.93
  5. Step 5: Solve for x
    x = 123,538,734.93/9,640.80
  6. Step 6: Final answer
    x = 12,814.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.