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Finding the Fourth Proportional to 9,102.96, 13,647.71 and 2,859.42

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Solution

The fourth proportional to 9,102.96, 13,647.71 and 2,859.42 is: 4,287.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.96 : 13,647.71 = 2,859.42 : x
  2. Step 2: Convert to fraction form
    9,102.96/13,647.71 = 2,859.42/x
  3. Step 3: Cross multiply
    9,102.96x = 13,647.71 × 2,859.42
  4. Step 4: Simplify right side
    9,102.96x = 39,024,520.63
  5. Step 5: Solve for x
    x = 39,024,520.63/9,102.96
  6. Step 6: Final answer
    x = 4,287.01

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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.