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Finding the Fourth Proportional to 9,384.65, 14,076.98 and 3,838.79

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Solution

The fourth proportional to 9,384.65, 14,076.98 and 3,838.79 is: 5,758.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.65 : 14,076.98 = 3,838.79 : x
  2. Step 2: Convert to fraction form
    9,384.65/14,076.98 = 3,838.79/x
  3. Step 3: Cross multiply
    9,384.65x = 14,076.98 × 3,838.79
  4. Step 4: Simplify right side
    9,384.65x = 54,038,570.05
  5. Step 5: Solve for x
    x = 54,038,570.05/9,384.65
  6. Step 6: Final answer
    x = 5,758.19

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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.