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Finding the Fourth Proportional to 9,931.74, 13,722.39 and 8,272.86

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Solution

The fourth proportional to 9,931.74, 13,722.39 and 8,272.86 is: 11,430.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,931.74 : 13,722.39 = 8,272.86 : x
  2. Step 2: Convert to fraction form
    9,931.74/13,722.39 = 8,272.86/x
  3. Step 3: Cross multiply
    9,931.74x = 13,722.39 × 8,272.86
  4. Step 4: Simplify right side
    9,931.74x = 113,523,411.34
  5. Step 5: Solve for x
    x = 113,523,411.34/9,931.74
  6. Step 6: Final answer
    x = 11,430.36

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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.