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Finding the Fourth Proportional to 9,592.89, 13,238.20 and 5,613.24

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Solution

The fourth proportional to 9,592.89, 13,238.20 and 5,613.24 is: 7,746.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592.89 : 13,238.20 = 5,613.24 : x
  2. Step 2: Convert to fraction form
    9,592.89/13,238.20 = 5,613.24/x
  3. Step 3: Cross multiply
    9,592.89x = 13,238.20 × 5,613.24
  4. Step 4: Simplify right side
    9,592.89x = 74,309,193.77
  5. Step 5: Solve for x
    x = 74,309,193.77/9,592.89
  6. Step 6: Final answer
    x = 7,746.28

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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.