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Finding the Fourth Proportional to 9,157.38, 13,734.85 and 2,584.10

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Solution

The fourth proportional to 9,157.38, 13,734.85 and 2,584.10 is: 3,875.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.38 : 13,734.85 = 2,584.10 : x
  2. Step 2: Convert to fraction form
    9,157.38/13,734.85 = 2,584.10/x
  3. Step 3: Cross multiply
    9,157.38x = 13,734.85 × 2,584.10
  4. Step 4: Simplify right side
    9,157.38x = 35,492,225.89
  5. Step 5: Solve for x
    x = 35,492,225.89/9,157.38
  6. Step 6: Final answer
    x = 3,875.81

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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.