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Finding the Fourth Proportional to 9,260.34, 12,779.64 and 5,282.10

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Solution

The fourth proportional to 9,260.34, 12,779.64 and 5,282.10 is: 7,289.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260.34 : 12,779.64 = 5,282.10 : x
  2. Step 2: Convert to fraction form
    9,260.34/12,779.64 = 5,282.10/x
  3. Step 3: Cross multiply
    9,260.34x = 12,779.64 × 5,282.10
  4. Step 4: Simplify right side
    9,260.34x = 67,503,336.44
  5. Step 5: Solve for x
    x = 67,503,336.44/9,260.34
  6. Step 6: Final answer
    x = 7,289.51

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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.