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Finding the Fourth Proportional to 9,785.64, 14,657.22 and 6,025.96

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Solution

The fourth proportional to 9,785.64, 14,657.22 and 6,025.96 is: 9,025.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.64 : 14,657.22 = 6,025.96 : x
  2. Step 2: Convert to fraction form
    9,785.64/14,657.22 = 6,025.96/x
  3. Step 3: Cross multiply
    9,785.64x = 14,657.22 × 6,025.96
  4. Step 4: Simplify right side
    9,785.64x = 88,323,821.43
  5. Step 5: Solve for x
    x = 88,323,821.43/9,785.64
  6. Step 6: Final answer
    x = 9,025.86

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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.