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Finding the Fourth Proportional to 9,300.14, 13,939.64 and 4,623.42

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Solution

The fourth proportional to 9,300.14, 13,939.64 and 4,623.42 is: 6,929.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,300.14 : 13,939.64 = 4,623.42 : x
  2. Step 2: Convert to fraction form
    9,300.14/13,939.64 = 4,623.42/x
  3. Step 3: Cross multiply
    9,300.14x = 13,939.64 × 4,623.42
  4. Step 4: Simplify right side
    9,300.14x = 64,448,810.37
  5. Step 5: Solve for x
    x = 64,448,810.37/9,300.14
  6. Step 6: Final answer
    x = 6,929.88

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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.