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Finding the Fourth Proportional to 7,214.37, 9,956.30 and 4,070.76

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Solution

The fourth proportional to 7,214.37, 9,956.30 and 4,070.76 is: 5,617.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.37 : 9,956.30 = 4,070.76 : x
  2. Step 2: Convert to fraction form
    7,214.37/9,956.30 = 4,070.76/x
  3. Step 3: Cross multiply
    7,214.37x = 9,956.30 × 4,070.76
  4. Step 4: Simplify right side
    7,214.37x = 40,529,687.43
  5. Step 5: Solve for x
    x = 40,529,687.43/7,214.37
  6. Step 6: Final answer
    x = 5,617.91

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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.