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Finding the Fourth Proportional to 6,368.42, 9,538.70 and 4,513.91

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Solution

The fourth proportional to 6,368.42, 9,538.70 and 4,513.91 is: 6,760.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368.42 : 9,538.70 = 4,513.91 : x
  2. Step 2: Convert to fraction form
    6,368.42/9,538.70 = 4,513.91/x
  3. Step 3: Cross multiply
    6,368.42x = 9,538.70 × 4,513.91
  4. Step 4: Simplify right side
    6,368.42x = 43,056,816.71
  5. Step 5: Solve for x
    x = 43,056,816.71/6,368.42
  6. Step 6: Final answer
    x = 6,760.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.