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Finding the Fourth Proportional to 9,420.75, 14,133.30 and 3,264.75

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Solution

The fourth proportional to 9,420.75, 14,133.30 and 3,264.75 is: 4,897.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.75 : 14,133.30 = 3,264.75 : x
  2. Step 2: Convert to fraction form
    9,420.75/14,133.30 = 3,264.75/x
  3. Step 3: Cross multiply
    9,420.75x = 14,133.30 × 3,264.75
  4. Step 4: Simplify right side
    9,420.75x = 46,141,691.18
  5. Step 5: Solve for x
    x = 46,141,691.18/9,420.75
  6. Step 6: Final answer
    x = 4,897.88

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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.