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Finding the Fourth Proportional to 9,722.10, 14,588.04 and 4,173.90

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Solution

The fourth proportional to 9,722.10, 14,588.04 and 4,173.90 is: 6,262.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.10 : 14,588.04 = 4,173.90 : x
  2. Step 2: Convert to fraction form
    9,722.10/14,588.04 = 4,173.90/x
  3. Step 3: Cross multiply
    9,722.10x = 14,588.04 × 4,173.90
  4. Step 4: Simplify right side
    9,722.10x = 60,889,020.16
  5. Step 5: Solve for x
    x = 60,889,020.16/9,722.10
  6. Step 6: Final answer
    x = 6,262.95

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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.