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Finding the Fourth Proportional to 9,232.32, 13,848.42 and 2,306.82

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Solution

The fourth proportional to 9,232.32, 13,848.42 and 2,306.82 is: 3,460.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.32 : 13,848.42 = 2,306.82 : x
  2. Step 2: Convert to fraction form
    9,232.32/13,848.42 = 2,306.82/x
  3. Step 3: Cross multiply
    9,232.32x = 13,848.42 × 2,306.82
  4. Step 4: Simplify right side
    9,232.32x = 31,945,812.22
  5. Step 5: Solve for x
    x = 31,945,812.22/9,232.32
  6. Step 6: Final answer
    x = 3,460.22

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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.