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Finding the Fourth Proportional to 9,680.35, 14,510.25 and 6,159.28

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Solution

The fourth proportional to 9,680.35, 14,510.25 and 6,159.28 is: 9,232.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680.35 : 14,510.25 = 6,159.28 : x
  2. Step 2: Convert to fraction form
    9,680.35/14,510.25 = 6,159.28/x
  3. Step 3: Cross multiply
    9,680.35x = 14,510.25 × 6,159.28
  4. Step 4: Simplify right side
    9,680.35x = 89,372,692.62
  5. Step 5: Solve for x
    x = 89,372,692.62/9,680.35
  6. Step 6: Final answer
    x = 9,232.38

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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.