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Finding the Fourth Proportional to 9,389.94, 14,065.77 and 5,429.65

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Solution

The fourth proportional to 9,389.94, 14,065.77 and 5,429.65 is: 8,133.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.94 : 14,065.77 = 5,429.65 : x
  2. Step 2: Convert to fraction form
    9,389.94/14,065.77 = 5,429.65/x
  3. Step 3: Cross multiply
    9,389.94x = 14,065.77 × 5,429.65
  4. Step 4: Simplify right side
    9,389.94x = 76,372,137.75
  5. Step 5: Solve for x
    x = 76,372,137.75/9,389.94
  6. Step 6: Final answer
    x = 8,133.40

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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.