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Finding the Fourth Proportional to 9,534.56, 14,270.73 and 8,625.20

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Solution

The fourth proportional to 9,534.56, 14,270.73 and 8,625.20 is: 12,909.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534.56 : 14,270.73 = 8,625.20 : x
  2. Step 2: Convert to fraction form
    9,534.56/14,270.73 = 8,625.20/x
  3. Step 3: Cross multiply
    9,534.56x = 14,270.73 × 8,625.20
  4. Step 4: Simplify right side
    9,534.56x = 123,087,900.40
  5. Step 5: Solve for x
    x = 123,087,900.40/9,534.56
  6. Step 6: Final answer
    x = 12,909.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.