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Finding the Fourth Proportional to 9,785.38, 14,661.29 and 6,573.65

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Solution

The fourth proportional to 9,785.38, 14,661.29 and 6,573.65 is: 9,849.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.38 : 14,661.29 = 6,573.65 : x
  2. Step 2: Convert to fraction form
    9,785.38/14,661.29 = 6,573.65/x
  3. Step 3: Cross multiply
    9,785.38x = 14,661.29 × 6,573.65
  4. Step 4: Simplify right side
    9,785.38x = 96,378,242.10
  5. Step 5: Solve for x
    x = 96,378,242.10/9,785.38
  6. Step 6: Final answer
    x = 9,849.21

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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.