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Finding the Fourth Proportional to 9,260.16, 12,779.27 and 5,282.25

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Solution

The fourth proportional to 9,260.16, 12,779.27 and 5,282.25 is: 7,289.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260.16 : 12,779.27 = 5,282.25 : x
  2. Step 2: Convert to fraction form
    9,260.16/12,779.27 = 5,282.25/x
  3. Step 3: Cross multiply
    9,260.16x = 12,779.27 × 5,282.25
  4. Step 4: Simplify right side
    9,260.16x = 67,503,298.96
  5. Step 5: Solve for x
    x = 67,503,298.96/9,260.16
  6. Step 6: Final answer
    x = 7,289.65

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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.