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Finding the Fourth Proportional to 7,214.26, 9,955.68 and 4,070.46

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Solution

The fourth proportional to 7,214.26, 9,955.68 and 4,070.46 is: 5,617.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.26 : 9,955.68 = 4,070.46 : x
  2. Step 2: Convert to fraction form
    7,214.26/9,955.68 = 4,070.46/x
  3. Step 3: Cross multiply
    7,214.26x = 9,955.68 × 4,070.46
  4. Step 4: Simplify right side
    7,214.26x = 40,524,197.21
  5. Step 5: Solve for x
    x = 40,524,197.21/7,214.26
  6. Step 6: Final answer
    x = 5,617.24

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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.