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Finding the Fourth Proportional to 9,586.97, 14,389.03 and 4,910.18

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Solution

The fourth proportional to 9,586.97, 14,389.03 and 4,910.18 is: 7,369.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.97 : 14,389.03 = 4,910.18 : x
  2. Step 2: Convert to fraction form
    9,586.97/14,389.03 = 4,910.18/x
  3. Step 3: Cross multiply
    9,586.97x = 14,389.03 × 4,910.18
  4. Step 4: Simplify right side
    9,586.97x = 70,652,661.52
  5. Step 5: Solve for x
    x = 70,652,661.52/9,586.97
  6. Step 6: Final answer
    x = 7,369.66

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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.