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Finding the Fourth Proportional to 9,625.88, 14,433.42 and 4,685

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Solution

The fourth proportional to 9,625.88, 14,433.42 and 4,685 is: 7,024.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625.88 : 14,433.42 = 4,685 : x
  2. Step 2: Convert to fraction form
    9,625.88/14,433.42 = 4,685/x
  3. Step 3: Cross multiply
    9,625.88x = 14,433.42 × 4,685
  4. Step 4: Simplify right side
    9,625.88x = 67,620,572.70
  5. Step 5: Solve for x
    x = 67,620,572.70/9,625.88
  6. Step 6: Final answer
    x = 7,024.87

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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.