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Finding the Fourth Proportional to 9,585.16, 14,353.26 and 7,640.20

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Solution

The fourth proportional to 9,585.16, 14,353.26 and 7,640.20 is: 11,440.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.16 : 14,353.26 = 7,640.20 : x
  2. Step 2: Convert to fraction form
    9,585.16/14,353.26 = 7,640.20/x
  3. Step 3: Cross multiply
    9,585.16x = 14,353.26 × 7,640.20
  4. Step 4: Simplify right side
    9,585.16x = 109,661,777.05
  5. Step 5: Solve for x
    x = 109,661,777.05/9,585.16
  6. Step 6: Final answer
    x = 11,440.79

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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.