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Finding the Fourth Proportional to 9,478.04, 13,085.22 and 6,295.64

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Solution

The fourth proportional to 9,478.04, 13,085.22 and 6,295.64 is: 8,691.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.04 : 13,085.22 = 6,295.64 : x
  2. Step 2: Convert to fraction form
    9,478.04/13,085.22 = 6,295.64/x
  3. Step 3: Cross multiply
    9,478.04x = 13,085.22 × 6,295.64
  4. Step 4: Simplify right side
    9,478.04x = 82,379,834.44
  5. Step 5: Solve for x
    x = 82,379,834.44/9,478.04
  6. Step 6: Final answer
    x = 8,691.65

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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.