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Finding the Fourth Proportional to 9,548.96, 13,174.26 and 6,010.88

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Solution

The fourth proportional to 9,548.96, 13,174.26 and 6,010.88 is: 8,292.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.96 : 13,174.26 = 6,010.88 : x
  2. Step 2: Convert to fraction form
    9,548.96/13,174.26 = 6,010.88/x
  3. Step 3: Cross multiply
    9,548.96x = 13,174.26 × 6,010.88
  4. Step 4: Simplify right side
    9,548.96x = 79,188,895.95
  5. Step 5: Solve for x
    x = 79,188,895.95/9,548.96
  6. Step 6: Final answer
    x = 8,292.93

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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.