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Finding the Fourth Proportional to 9,189.57, 13,779.31 and 4,256.49

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Solution

The fourth proportional to 9,189.57, 13,779.31 and 4,256.49 is: 6,382.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.57 : 13,779.31 = 4,256.49 : x
  2. Step 2: Convert to fraction form
    9,189.57/13,779.31 = 4,256.49/x
  3. Step 3: Cross multiply
    9,189.57x = 13,779.31 × 4,256.49
  4. Step 4: Simplify right side
    9,189.57x = 58,651,495.22
  5. Step 5: Solve for x
    x = 58,651,495.22/9,189.57
  6. Step 6: Final answer
    x = 6,382.40

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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.