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Finding the Fourth Proportional to 9,922.80, 14,864.35 and 5,971.86

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Solution

The fourth proportional to 9,922.80, 14,864.35 and 5,971.86 is: 8,945.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922.80 : 14,864.35 = 5,971.86 : x
  2. Step 2: Convert to fraction form
    9,922.80/14,864.35 = 5,971.86/x
  3. Step 3: Cross multiply
    9,922.80x = 14,864.35 × 5,971.86
  4. Step 4: Simplify right side
    9,922.80x = 88,767,817.19
  5. Step 5: Solve for x
    x = 88,767,817.19/9,922.80
  6. Step 6: Final answer
    x = 8,945.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.