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Finding the Fourth Proportional to 7,222.56, 9,957.50 and 5,735.40

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Solution

The fourth proportional to 7,222.56, 9,957.50 and 5,735.40 is: 7,907.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222.56 : 9,957.50 = 5,735.40 : x
  2. Step 2: Convert to fraction form
    7,222.56/9,957.50 = 5,735.40/x
  3. Step 3: Cross multiply
    7,222.56x = 9,957.50 × 5,735.40
  4. Step 4: Simplify right side
    7,222.56x = 57,110,216.82
  5. Step 5: Solve for x
    x = 57,110,216.82/7,222.56
  6. Step 6: Final answer
    x = 7,907.20

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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.