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Finding the Fourth Proportional to 9,230.42, 12,774.53 and 9,009.29

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Solution

The fourth proportional to 9,230.42, 12,774.53 and 9,009.29 is: 12,468.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.42 : 12,774.53 = 9,009.29 : x
  2. Step 2: Convert to fraction form
    9,230.42/12,774.53 = 9,009.29/x
  3. Step 3: Cross multiply
    9,230.42x = 12,774.53 × 9,009.29
  4. Step 4: Simplify right side
    9,230.42x = 115,089,422.86
  5. Step 5: Solve for x
    x = 115,089,422.86/9,230.42
  6. Step 6: Final answer
    x = 12,468.49

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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.