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Finding the Fourth Proportional to 9,224.61, 12,729.94 and 5,032.86

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Solution

The fourth proportional to 9,224.61, 12,729.94 and 5,032.86 is: 6,945.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.61 : 12,729.94 = 5,032.86 : x
  2. Step 2: Convert to fraction form
    9,224.61/12,729.94 = 5,032.86/x
  3. Step 3: Cross multiply
    9,224.61x = 12,729.94 × 5,032.86
  4. Step 4: Simplify right side
    9,224.61x = 64,068,005.83
  5. Step 5: Solve for x
    x = 64,068,005.83/9,224.61
  6. Step 6: Final answer
    x = 6,945.33

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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.