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Finding the Fourth Proportional to 9,585.32, 14,360.67 and 8,023.64

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Solution

The fourth proportional to 9,585.32, 14,360.67 and 8,023.64 is: 12,020.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.32 : 14,360.67 = 8,023.64 : x
  2. Step 2: Convert to fraction form
    9,585.32/14,360.67 = 8,023.64/x
  3. Step 3: Cross multiply
    9,585.32x = 14,360.67 × 8,023.64
  4. Step 4: Simplify right side
    9,585.32x = 115,224,774.44
  5. Step 5: Solve for x
    x = 115,224,774.44/9,585.32
  6. Step 6: Final answer
    x = 12,020.97

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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.