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Finding the Fourth Proportional to 9,854.09, 14,792.84 and 7,775.59

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Solution

The fourth proportional to 9,854.09, 14,792.84 and 7,775.59 is: 11,672.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.09 : 14,792.84 = 7,775.59 : x
  2. Step 2: Convert to fraction form
    9,854.09/14,792.84 = 7,775.59/x
  3. Step 3: Cross multiply
    9,854.09x = 14,792.84 × 7,775.59
  4. Step 4: Simplify right side
    9,854.09x = 115,022,945.93
  5. Step 5: Solve for x
    x = 115,022,945.93/9,854.09
  6. Step 6: Final answer
    x = 11,672.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.