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Finding the Fourth Proportional to 9,238.40, 13,852.56 and 6,320

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Solution

The fourth proportional to 9,238.40, 13,852.56 and 6,320 is: 9,476.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.40 : 13,852.56 = 6,320 : x
  2. Step 2: Convert to fraction form
    9,238.40/13,852.56 = 6,320/x
  3. Step 3: Cross multiply
    9,238.40x = 13,852.56 × 6,320
  4. Step 4: Simplify right side
    9,238.40x = 87,548,179.20
  5. Step 5: Solve for x
    x = 87,548,179.20/9,238.40
  6. Step 6: Final answer
    x = 9,476.55

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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.