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Finding the Fourth Proportional to 9,231.48, 13,848.54 and 4,849.26

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Solution

The fourth proportional to 9,231.48, 13,848.54 and 4,849.26 is: 7,274.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231.48 : 13,848.54 = 4,849.26 : x
  2. Step 2: Convert to fraction form
    9,231.48/13,848.54 = 4,849.26/x
  3. Step 3: Cross multiply
    9,231.48x = 13,848.54 × 4,849.26
  4. Step 4: Simplify right side
    9,231.48x = 67,155,171.08
  5. Step 5: Solve for x
    x = 67,155,171.08/9,231.48
  6. Step 6: Final answer
    x = 7,274.58

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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.