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Finding the Fourth Proportional to 10,923.64, 15,059.35 and 9,238.27

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Solution

The fourth proportional to 10,923.64, 15,059.35 and 9,238.27 is: 12,735.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,923.64 : 15,059.35 = 9,238.27 : x
  2. Step 2: Convert to fraction form
    10,923.64/15,059.35 = 9,238.27/x
  3. Step 3: Cross multiply
    10,923.64x = 15,059.35 × 9,238.27
  4. Step 4: Simplify right side
    10,923.64x = 139,122,341.32
  5. Step 5: Solve for x
    x = 139,122,341.32/10,923.64
  6. Step 6: Final answer
    x = 12,735.90

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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.