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Finding the Fourth Proportional to 9,644.95, 13,311.45 and 6,108.49

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Solution

The fourth proportional to 9,644.95, 13,311.45 and 6,108.49 is: 8,430.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.95 : 13,311.45 = 6,108.49 : x
  2. Step 2: Convert to fraction form
    9,644.95/13,311.45 = 6,108.49/x
  3. Step 3: Cross multiply
    9,644.95x = 13,311.45 × 6,108.49
  4. Step 4: Simplify right side
    9,644.95x = 81,312,859.21
  5. Step 5: Solve for x
    x = 81,312,859.21/9,644.95
  6. Step 6: Final answer
    x = 8,430.61

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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.