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Finding the Fourth Proportional to 6,356.46, 8,772.47 and 3,703.81

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Solution

The fourth proportional to 6,356.46, 8,772.47 and 3,703.81 is: 5,111.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.46 : 8,772.47 = 3,703.81 : x
  2. Step 2: Convert to fraction form
    6,356.46/8,772.47 = 3,703.81/x
  3. Step 3: Cross multiply
    6,356.46x = 8,772.47 × 3,703.81
  4. Step 4: Simplify right side
    6,356.46x = 32,491,562.11
  5. Step 5: Solve for x
    x = 32,491,562.11/6,356.46
  6. Step 6: Final answer
    x = 5,111.58

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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.