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Finding the Fourth Proportional to 8,974.96, 13,464.24 and 3,130

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Solution

The fourth proportional to 8,974.96, 13,464.24 and 3,130 is: 4,695.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.96 : 13,464.24 = 3,130 : x
  2. Step 2: Convert to fraction form
    8,974.96/13,464.24 = 3,130/x
  3. Step 3: Cross multiply
    8,974.96x = 13,464.24 × 3,130
  4. Step 4: Simplify right side
    8,974.96x = 42,143,071.20
  5. Step 5: Solve for x
    x = 42,143,071.20/8,974.96
  6. Step 6: Final answer
    x = 4,695.63

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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.