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Finding the Fourth Proportional to 9,368.14, 14,053.02 and 3,821.87

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Solution

The fourth proportional to 9,368.14, 14,053.02 and 3,821.87 is: 5,733.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,368.14 : 14,053.02 = 3,821.87 : x
  2. Step 2: Convert to fraction form
    9,368.14/14,053.02 = 3,821.87/x
  3. Step 3: Cross multiply
    9,368.14x = 14,053.02 × 3,821.87
  4. Step 4: Simplify right side
    9,368.14x = 53,708,815.55
  5. Step 5: Solve for x
    x = 53,708,815.55/9,368.14
  6. Step 6: Final answer
    x = 5,733.14

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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.