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Finding the Fourth Proportional to 7,214.96, 9,957.90 and 4,232.54

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Solution

The fourth proportional to 7,214.96, 9,957.90 and 4,232.54 is: 5,841.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.96 : 9,957.90 = 4,232.54 : x
  2. Step 2: Convert to fraction form
    7,214.96/9,957.90 = 4,232.54/x
  3. Step 3: Cross multiply
    7,214.96x = 9,957.90 × 4,232.54
  4. Step 4: Simplify right side
    7,214.96x = 42,147,210.07
  5. Step 5: Solve for x
    x = 42,147,210.07/7,214.96
  6. Step 6: Final answer
    x = 5,841.64

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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.