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Finding the Fourth Proportional to 9,853.20, 14,779.17 and 3,277.62

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Solution

The fourth proportional to 9,853.20, 14,779.17 and 3,277.62 is: 4,916.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.20 : 14,779.17 = 3,277.62 : x
  2. Step 2: Convert to fraction form
    9,853.20/14,779.17 = 3,277.62/x
  3. Step 3: Cross multiply
    9,853.20x = 14,779.17 × 3,277.62
  4. Step 4: Simplify right side
    9,853.20x = 48,440,503.18
  5. Step 5: Solve for x
    x = 48,440,503.18/9,853.20
  6. Step 6: Final answer
    x = 4,916.22

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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.