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Finding the Fourth Proportional to 9,814.23, 13,543.00 and 5,835.65

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Solution

The fourth proportional to 9,814.23, 13,543.00 and 5,835.65 is: 8,052.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.23 : 13,543.00 = 5,835.65 : x
  2. Step 2: Convert to fraction form
    9,814.23/13,543.00 = 5,835.65/x
  3. Step 3: Cross multiply
    9,814.23x = 13,543.00 × 5,835.65
  4. Step 4: Simplify right side
    9,814.23x = 79,032,125.65
  5. Step 5: Solve for x
    x = 79,032,125.65/9,814.23
  6. Step 6: Final answer
    x = 8,052.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.