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Finding the Fourth Proportional to 9,801.76, 13,521.36 and 6,069.28

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Solution

The fourth proportional to 9,801.76, 13,521.36 and 6,069.28 is: 8,372.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.76 : 13,521.36 = 6,069.28 : x
  2. Step 2: Convert to fraction form
    9,801.76/13,521.36 = 6,069.28/x
  3. Step 3: Cross multiply
    9,801.76x = 13,521.36 × 6,069.28
  4. Step 4: Simplify right side
    9,801.76x = 82,064,919.82
  5. Step 5: Solve for x
    x = 82,064,919.82/9,801.76
  6. Step 6: Final answer
    x = 8,372.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.