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Finding the Fourth Proportional to 9,232.14, 13,852.25 and 4,848.57

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Solution

The fourth proportional to 9,232.14, 13,852.25 and 4,848.57 is: 7,274.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.14 : 13,852.25 = 4,848.57 : x
  2. Step 2: Convert to fraction form
    9,232.14/13,852.25 = 4,848.57/x
  3. Step 3: Cross multiply
    9,232.14x = 13,852.25 × 4,848.57
  4. Step 4: Simplify right side
    9,232.14x = 67,163,579.54
  5. Step 5: Solve for x
    x = 67,163,579.54/9,232.14
  6. Step 6: Final answer
    x = 7,274.97

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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.