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Finding the Fourth Proportional to 9,585.10, 14,379.82 and 2,922.20

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Solution

The fourth proportional to 9,585.10, 14,379.82 and 2,922.20 is: 4,383.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.10 : 14,379.82 = 2,922.20 : x
  2. Step 2: Convert to fraction form
    9,585.10/14,379.82 = 2,922.20/x
  3. Step 3: Cross multiply
    9,585.10x = 14,379.82 × 2,922.20
  4. Step 4: Simplify right side
    9,585.10x = 42,020,684.72
  5. Step 5: Solve for x
    x = 42,020,684.72/9,585.10
  6. Step 6: Final answer
    x = 4,383.96

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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.