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Finding the Fourth Proportional to 9,971.34, 13,759.65 and 5,779.86

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Solution

The fourth proportional to 9,971.34, 13,759.65 and 5,779.86 is: 7,975.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.34 : 13,759.65 = 5,779.86 : x
  2. Step 2: Convert to fraction form
    9,971.34/13,759.65 = 5,779.86/x
  3. Step 3: Cross multiply
    9,971.34x = 13,759.65 × 5,779.86
  4. Step 4: Simplify right side
    9,971.34x = 79,528,850.65
  5. Step 5: Solve for x
    x = 79,528,850.65/9,971.34
  6. Step 6: Final answer
    x = 7,975.74

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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.