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Finding the Fourth Proportional to 9,259.26, 12,779.64 and 6,432.54

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Solution

The fourth proportional to 9,259.26, 12,779.64 and 6,432.54 is: 8,878.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.26 : 12,779.64 = 6,432.54 : x
  2. Step 2: Convert to fraction form
    9,259.26/12,779.64 = 6,432.54/x
  3. Step 3: Cross multiply
    9,259.26x = 12,779.64 × 6,432.54
  4. Step 4: Simplify right side
    9,259.26x = 82,205,545.49
  5. Step 5: Solve for x
    x = 82,205,545.49/9,259.26
  6. Step 6: Final answer
    x = 8,878.20

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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.