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Finding the Fourth Proportional to 9,241.54, 12,753.59 and 5,153.44

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Solution

The fourth proportional to 9,241.54, 12,753.59 and 5,153.44 is: 7,111.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.54 : 12,753.59 = 5,153.44 : x
  2. Step 2: Convert to fraction form
    9,241.54/12,753.59 = 5,153.44/x
  3. Step 3: Cross multiply
    9,241.54x = 12,753.59 × 5,153.44
  4. Step 4: Simplify right side
    9,241.54x = 65,724,870.59
  5. Step 5: Solve for x
    x = 65,724,870.59/9,241.54
  6. Step 6: Final answer
    x = 7,111.89

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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.