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Finding the Fourth Proportional to 9,613.58, 13,267.97 and 5,838.26

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Solution

The fourth proportional to 9,613.58, 13,267.97 and 5,838.26 is: 8,057.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.58 : 13,267.97 = 5,838.26 : x
  2. Step 2: Convert to fraction form
    9,613.58/13,267.97 = 5,838.26/x
  3. Step 3: Cross multiply
    9,613.58x = 13,267.97 × 5,838.26
  4. Step 4: Simplify right side
    9,613.58x = 77,461,763.00
  5. Step 5: Solve for x
    x = 77,461,763.00/9,613.58
  6. Step 6: Final answer
    x = 8,057.54

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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.