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Finding the Fourth Proportional to 6,358.30, 9,538.47 and 3,071.64

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Solution

The fourth proportional to 6,358.30, 9,538.47 and 3,071.64 is: 4,607.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.30 : 9,538.47 = 3,071.64 : x
  2. Step 2: Convert to fraction form
    6,358.30/9,538.47 = 3,071.64/x
  3. Step 3: Cross multiply
    6,358.30x = 9,538.47 × 3,071.64
  4. Step 4: Simplify right side
    6,358.30x = 29,298,745.99
  5. Step 5: Solve for x
    x = 29,298,745.99/6,358.30
  6. Step 6: Final answer
    x = 4,607.95

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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.