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Finding the Fourth Proportional to 9,406.46, 12,980.84 and 5,214.70

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Solution

The fourth proportional to 9,406.46, 12,980.84 and 5,214.70 is: 7,196.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.46 : 12,980.84 = 5,214.70 : x
  2. Step 2: Convert to fraction form
    9,406.46/12,980.84 = 5,214.70/x
  3. Step 3: Cross multiply
    9,406.46x = 12,980.84 × 5,214.70
  4. Step 4: Simplify right side
    9,406.46x = 67,691,186.35
  5. Step 5: Solve for x
    x = 67,691,186.35/9,406.46
  6. Step 6: Final answer
    x = 7,196.24

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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.