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Finding the Fourth Proportional to 9,620.18, 14,431.42 and 9,095.30

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Solution

The fourth proportional to 9,620.18, 14,431.42 and 9,095.30 is: 13,644.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.18 : 14,431.42 = 9,095.30 : x
  2. Step 2: Convert to fraction form
    9,620.18/14,431.42 = 9,095.30/x
  3. Step 3: Cross multiply
    9,620.18x = 14,431.42 × 9,095.30
  4. Step 4: Simplify right side
    9,620.18x = 131,258,094.33
  5. Step 5: Solve for x
    x = 131,258,094.33/9,620.18
  6. Step 6: Final answer
    x = 13,644.04

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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.