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Finding the Fourth Proportional to 9,599.72, 14,396.33 and 4,666.21

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Solution

The fourth proportional to 9,599.72, 14,396.33 and 4,666.21 is: 6,997.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,599.72 : 14,396.33 = 4,666.21 : x
  2. Step 2: Convert to fraction form
    9,599.72/14,396.33 = 4,666.21/x
  3. Step 3: Cross multiply
    9,599.72x = 14,396.33 × 4,666.21
  4. Step 4: Simplify right side
    9,599.72x = 67,176,274.68
  5. Step 5: Solve for x
    x = 67,176,274.68/9,599.72
  6. Step 6: Final answer
    x = 6,997.74

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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.