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Finding the Fourth Proportional to 9,640.40, 13,303.85 and 5,662.78

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Solution

The fourth proportional to 9,640.40, 13,303.85 and 5,662.78 is: 7,814.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.40 : 13,303.85 = 5,662.78 : x
  2. Step 2: Convert to fraction form
    9,640.40/13,303.85 = 5,662.78/x
  3. Step 3: Cross multiply
    9,640.40x = 13,303.85 × 5,662.78
  4. Step 4: Simplify right side
    9,640.40x = 75,336,714.13
  5. Step 5: Solve for x
    x = 75,336,714.13/9,640.40
  6. Step 6: Final answer
    x = 7,814.69

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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.