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Finding the Fourth Proportional to 6,823.32, 9,411.84 and 4,303.28

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Solution

The fourth proportional to 6,823.32, 9,411.84 and 4,303.28 is: 5,935.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.32 : 9,411.84 = 4,303.28 : x
  2. Step 2: Convert to fraction form
    6,823.32/9,411.84 = 4,303.28/x
  3. Step 3: Cross multiply
    6,823.32x = 9,411.84 × 4,303.28
  4. Step 4: Simplify right side
    6,823.32x = 40,501,735.78
  5. Step 5: Solve for x
    x = 40,501,735.78/6,823.32
  6. Step 6: Final answer
    x = 5,935.78

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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.