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Finding the Fourth Proportional to 9,256.68, 12,780.18 and 8,260.25

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Solution

The fourth proportional to 9,256.68, 12,780.18 and 8,260.25 is: 11,404.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.68 : 12,780.18 = 8,260.25 : x
  2. Step 2: Convert to fraction form
    9,256.68/12,780.18 = 8,260.25/x
  3. Step 3: Cross multiply
    9,256.68x = 12,780.18 × 8,260.25
  4. Step 4: Simplify right side
    9,256.68x = 105,567,417.94
  5. Step 5: Solve for x
    x = 105,567,417.94/9,256.68
  6. Step 6: Final answer
    x = 11,404.46

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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.