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Finding the Fourth Proportional to 9,813.85, 13,543.46 and 5,622.91

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Solution

The fourth proportional to 9,813.85, 13,543.46 and 5,622.91 is: 7,759.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.85 : 13,543.46 = 5,622.91 : x
  2. Step 2: Convert to fraction form
    9,813.85/13,543.46 = 5,622.91/x
  3. Step 3: Cross multiply
    9,813.85x = 13,543.46 × 5,622.91
  4. Step 4: Simplify right side
    9,813.85x = 76,153,656.67
  5. Step 5: Solve for x
    x = 76,153,656.67/9,813.85
  6. Step 6: Final answer
    x = 7,759.81

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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.