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Finding the Fourth Proportional to 9,855.18, 14,782.90 and 3,281.38

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Solution

The fourth proportional to 9,855.18, 14,782.90 and 3,281.38 is: 4,922.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.18 : 14,782.90 = 3,281.38 : x
  2. Step 2: Convert to fraction form
    9,855.18/14,782.90 = 3,281.38/x
  3. Step 3: Cross multiply
    9,855.18x = 14,782.90 × 3,281.38
  4. Step 4: Simplify right side
    9,855.18x = 48,508,312.40
  5. Step 5: Solve for x
    x = 48,508,312.40/9,855.18
  6. Step 6: Final answer
    x = 4,922.11

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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.