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Finding the Fourth Proportional to 9,429.84, 14,145.17 and 5,266.44

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Solution

The fourth proportional to 9,429.84, 14,145.17 and 5,266.44 is: 7,899.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,429.84 : 14,145.17 = 5,266.44 : x
  2. Step 2: Convert to fraction form
    9,429.84/14,145.17 = 5,266.44/x
  3. Step 3: Cross multiply
    9,429.84x = 14,145.17 × 5,266.44
  4. Step 4: Simplify right side
    9,429.84x = 74,494,662.76
  5. Step 5: Solve for x
    x = 74,494,662.76/9,429.84
  6. Step 6: Final answer
    x = 7,899.89

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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.