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Finding the Fourth Proportional to 9,260.75, 12,779.84 and 5,069

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Solution

The fourth proportional to 9,260.75, 12,779.84 and 5,069 is: 6,995.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260.75 : 12,779.84 = 5,069 : x
  2. Step 2: Convert to fraction form
    9,260.75/12,779.84 = 5,069/x
  3. Step 3: Cross multiply
    9,260.75x = 12,779.84 × 5,069
  4. Step 4: Simplify right side
    9,260.75x = 64,781,008.96
  5. Step 5: Solve for x
    x = 64,781,008.96/9,260.75
  6. Step 6: Final answer
    x = 6,995.22

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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.