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Finding the Fourth Proportional to 9,721.20, 14,586.12 and 6,265.20

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Solution

The fourth proportional to 9,721.20, 14,586.12 and 6,265.20 is: 9,400.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,721.20 : 14,586.12 = 6,265.20 : x
  2. Step 2: Convert to fraction form
    9,721.20/14,586.12 = 6,265.20/x
  3. Step 3: Cross multiply
    9,721.20x = 14,586.12 × 6,265.20
  4. Step 4: Simplify right side
    9,721.20x = 91,384,959.02
  5. Step 5: Solve for x
    x = 91,384,959.02/9,721.20
  6. Step 6: Final answer
    x = 9,400.58

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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.