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Finding the Fourth Proportional to 9,588.50, 13,238.63 and 6,004.89

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Solution

The fourth proportional to 9,588.50, 13,238.63 and 6,004.89 is: 8,290.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.50 : 13,238.63 = 6,004.89 : x
  2. Step 2: Convert to fraction form
    9,588.50/13,238.63 = 6,004.89/x
  3. Step 3: Cross multiply
    9,588.50x = 13,238.63 × 6,004.89
  4. Step 4: Simplify right side
    9,588.50x = 79,496,486.88
  5. Step 5: Solve for x
    x = 79,496,486.88/9,588.50
  6. Step 6: Final answer
    x = 8,290.82

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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.