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Finding the Fourth Proportional to 9,931.22, 13,705.05 and 5,454.96

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Solution

The fourth proportional to 9,931.22, 13,705.05 and 5,454.96 is: 7,527.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,931.22 : 13,705.05 = 5,454.96 : x
  2. Step 2: Convert to fraction form
    9,931.22/13,705.05 = 5,454.96/x
  3. Step 3: Cross multiply
    9,931.22x = 13,705.05 × 5,454.96
  4. Step 4: Simplify right side
    9,931.22x = 74,760,515.02
  5. Step 5: Solve for x
    x = 74,760,515.02/9,931.22
  6. Step 6: Final answer
    x = 7,527.82

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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.