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Finding the Fourth Proportional to 9,722.10, 14,583.15 and 9,236.10

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Solution

The fourth proportional to 9,722.10, 14,583.15 and 9,236.10 is: 13,854.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.10 : 14,583.15 = 9,236.10 : x
  2. Step 2: Convert to fraction form
    9,722.10/14,583.15 = 9,236.10/x
  3. Step 3: Cross multiply
    9,722.10x = 14,583.15 × 9,236.10
  4. Step 4: Simplify right side
    9,722.10x = 134,691,431.72
  5. Step 5: Solve for x
    x = 134,691,431.72/9,722.10
  6. Step 6: Final answer
    x = 13,854.15

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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.