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Finding the Fourth Proportional to 9,353.36, 14,028.38 and 3,429

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Solution

The fourth proportional to 9,353.36, 14,028.38 and 3,429 is: 5,142.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,353.36 : 14,028.38 = 3,429 : x
  2. Step 2: Convert to fraction form
    9,353.36/14,028.38 = 3,429/x
  3. Step 3: Cross multiply
    9,353.36x = 14,028.38 × 3,429
  4. Step 4: Simplify right side
    9,353.36x = 48,103,315.02
  5. Step 5: Solve for x
    x = 48,103,315.02/9,353.36
  6. Step 6: Final answer
    x = 5,142.89

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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.