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Finding the Fourth Proportional to 9,351.42, 14,024.70 and 2,776.08

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Solution

The fourth proportional to 9,351.42, 14,024.70 and 2,776.08 is: 4,163.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.42 : 14,024.70 = 2,776.08 : x
  2. Step 2: Convert to fraction form
    9,351.42/14,024.70 = 2,776.08/x
  3. Step 3: Cross multiply
    9,351.42x = 14,024.70 × 2,776.08
  4. Step 4: Simplify right side
    9,351.42x = 38,933,689.18
  5. Step 5: Solve for x
    x = 38,933,689.18/9,351.42
  6. Step 6: Final answer
    x = 4,163.40

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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.