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Finding the Fourth Proportional to 9,358.42, 14,038.32 and 2,694.65

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Solution

The fourth proportional to 9,358.42, 14,038.32 and 2,694.65 is: 4,042.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.42 : 14,038.32 = 2,694.65 : x
  2. Step 2: Convert to fraction form
    9,358.42/14,038.32 = 2,694.65/x
  3. Step 3: Cross multiply
    9,358.42x = 14,038.32 × 2,694.65
  4. Step 4: Simplify right side
    9,358.42x = 37,828,358.99
  5. Step 5: Solve for x
    x = 37,828,358.99/9,358.42
  6. Step 6: Final answer
    x = 4,042.17

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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.