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Finding the Fourth Proportional to 9,775.30, 14,662.98 and 2,379.75

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Solution

The fourth proportional to 9,775.30, 14,662.98 and 2,379.75 is: 3,569.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.30 : 14,662.98 = 2,379.75 : x
  2. Step 2: Convert to fraction form
    9,775.30/14,662.98 = 2,379.75/x
  3. Step 3: Cross multiply
    9,775.30x = 14,662.98 × 2,379.75
  4. Step 4: Simplify right side
    9,775.30x = 34,894,141.44
  5. Step 5: Solve for x
    x = 34,894,141.44/9,775.30
  6. Step 6: Final answer
    x = 3,569.62

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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.