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Finding the Fourth Proportional to 9,817.50, 14,730.19 and 3,577.97

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Solution

The fourth proportional to 9,817.50, 14,730.19 and 3,577.97 is: 5,368.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.50 : 14,730.19 = 3,577.97 : x
  2. Step 2: Convert to fraction form
    9,817.50/14,730.19 = 3,577.97/x
  3. Step 3: Cross multiply
    9,817.50x = 14,730.19 × 3,577.97
  4. Step 4: Simplify right side
    9,817.50x = 52,704,205.79
  5. Step 5: Solve for x
    x = 52,704,205.79/9,817.50
  6. Step 6: Final answer
    x = 5,368.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.