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Finding the Fourth Proportional to 6,403.94, 8,838.14 and 3,715.75

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Solution

The fourth proportional to 6,403.94, 8,838.14 and 3,715.75 is: 5,128.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.94 : 8,838.14 = 3,715.75 : x
  2. Step 2: Convert to fraction form
    6,403.94/8,838.14 = 3,715.75/x
  3. Step 3: Cross multiply
    6,403.94x = 8,838.14 × 3,715.75
  4. Step 4: Simplify right side
    6,403.94x = 32,840,318.71
  5. Step 5: Solve for x
    x = 32,840,318.71/6,403.94
  6. Step 6: Final answer
    x = 5,128.14

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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.