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Finding the Fourth Proportional to 9,225.48, 13,843.72 and 4,844.20

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Solution

The fourth proportional to 9,225.48, 13,843.72 and 4,844.20 is: 7,269.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.48 : 13,843.72 = 4,844.20 : x
  2. Step 2: Convert to fraction form
    9,225.48/13,843.72 = 4,844.20/x
  3. Step 3: Cross multiply
    9,225.48x = 13,843.72 × 4,844.20
  4. Step 4: Simplify right side
    9,225.48x = 67,061,748.42
  5. Step 5: Solve for x
    x = 67,061,748.42/9,225.48
  6. Step 6: Final answer
    x = 7,269.19

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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.