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Finding the Fourth Proportional to 7,134.12, 9,847.94 and 4,711.14

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Solution

The fourth proportional to 7,134.12, 9,847.94 and 4,711.14 is: 6,503.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.12 : 9,847.94 = 4,711.14 : x
  2. Step 2: Convert to fraction form
    7,134.12/9,847.94 = 4,711.14/x
  3. Step 3: Cross multiply
    7,134.12x = 9,847.94 × 4,711.14
  4. Step 4: Simplify right side
    7,134.12x = 46,395,000.50
  5. Step 5: Solve for x
    x = 46,395,000.50/7,134.12
  6. Step 6: Final answer
    x = 6,503.25

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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.