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Finding the Fourth Proportional to 9,260.66, 12,779.96 and 5,282.75

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Solution

The fourth proportional to 9,260.66, 12,779.96 and 5,282.75 is: 7,290.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260.66 : 12,779.96 = 5,282.75 : x
  2. Step 2: Convert to fraction form
    9,260.66/12,779.96 = 5,282.75/x
  3. Step 3: Cross multiply
    9,260.66x = 12,779.96 × 5,282.75
  4. Step 4: Simplify right side
    9,260.66x = 67,513,243.38
  5. Step 5: Solve for x
    x = 67,513,243.38/9,260.66
  6. Step 6: Final answer
    x = 7,290.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.