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Finding the Fourth Proportional to 9,348.87, 14,024.70 and 2,774.28

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Solution

The fourth proportional to 9,348.87, 14,024.70 and 2,774.28 is: 4,161.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.87 : 14,024.70 = 2,774.28 : x
  2. Step 2: Convert to fraction form
    9,348.87/14,024.70 = 2,774.28/x
  3. Step 3: Cross multiply
    9,348.87x = 14,024.70 × 2,774.28
  4. Step 4: Simplify right side
    9,348.87x = 38,908,444.72
  5. Step 5: Solve for x
    x = 38,908,444.72/9,348.87
  6. Step 6: Final answer
    x = 4,161.83

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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.