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Finding the Fourth Proportional to 9,429.62, 12,983.06 and 7,184.30

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Solution

The fourth proportional to 9,429.62, 12,983.06 and 7,184.30 is: 9,891.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,429.62 : 12,983.06 = 7,184.30 : x
  2. Step 2: Convert to fraction form
    9,429.62/12,983.06 = 7,184.30/x
  3. Step 3: Cross multiply
    9,429.62x = 12,983.06 × 7,184.30
  4. Step 4: Simplify right side
    9,429.62x = 93,274,197.96
  5. Step 5: Solve for x
    x = 93,274,197.96/9,429.62
  6. Step 6: Final answer
    x = 9,891.62

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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.