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Finding the Fourth Proportional to 9,911.82, 14,869.80 and 4,068.93

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Solution

The fourth proportional to 9,911.82, 14,869.80 and 4,068.93 is: 6,104.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.82 : 14,869.80 = 4,068.93 : x
  2. Step 2: Convert to fraction form
    9,911.82/14,869.80 = 4,068.93/x
  3. Step 3: Cross multiply
    9,911.82x = 14,869.80 × 4,068.93
  4. Step 4: Simplify right side
    9,911.82x = 60,504,175.31
  5. Step 5: Solve for x
    x = 60,504,175.31/9,911.82
  6. Step 6: Final answer
    x = 6,104.24

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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.