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Finding the Fourth Proportional to 10,203.64, 14,082.66 and 9,536.60

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Solution

The fourth proportional to 10,203.64, 14,082.66 and 9,536.60 is: 13,162.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.64 : 14,082.66 = 9,536.60 : x
  2. Step 2: Convert to fraction form
    10,203.64/14,082.66 = 9,536.60/x
  3. Step 3: Cross multiply
    10,203.64x = 14,082.66 × 9,536.60
  4. Step 4: Simplify right side
    10,203.64x = 134,300,730.56
  5. Step 5: Solve for x
    x = 134,300,730.56/10,203.64
  6. Step 6: Final answer
    x = 13,162.04

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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.