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Finding the Fourth Proportional to 9,885.72, 14,829 and 2,960.28

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Solution

The fourth proportional to 9,885.72, 14,829 and 2,960.28 is: 4,440.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.72 : 14,829 = 2,960.28 : x
  2. Step 2: Convert to fraction form
    9,885.72/14,829 = 2,960.28/x
  3. Step 3: Cross multiply
    9,885.72x = 14,829 × 2,960.28
  4. Step 4: Simplify right side
    9,885.72x = 43,897,992.12
  5. Step 5: Solve for x
    x = 43,897,992.12/9,885.72
  6. Step 6: Final answer
    x = 4,440.55

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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.