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Finding the Fourth Proportional to 6,863.94, 9,463.64 and 5,603.58

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Solution

The fourth proportional to 6,863.94, 9,463.64 and 5,603.58 is: 7,725.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.94 : 9,463.64 = 5,603.58 : x
  2. Step 2: Convert to fraction form
    6,863.94/9,463.64 = 5,603.58/x
  3. Step 3: Cross multiply
    6,863.94x = 9,463.64 × 5,603.58
  4. Step 4: Simplify right side
    6,863.94x = 53,030,235.81
  5. Step 5: Solve for x
    x = 53,030,235.81/6,863.94
  6. Step 6: Final answer
    x = 7,725.92

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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.