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Finding the Fourth Proportional to 7,206.56, 9,945.18 and 4,224.16

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Solution

The fourth proportional to 7,206.56, 9,945.18 and 4,224.16 is: 5,829.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.56 : 9,945.18 = 4,224.16 : x
  2. Step 2: Convert to fraction form
    7,206.56/9,945.18 = 4,224.16/x
  3. Step 3: Cross multiply
    7,206.56x = 9,945.18 × 4,224.16
  4. Step 4: Simplify right side
    7,206.56x = 42,010,031.55
  5. Step 5: Solve for x
    x = 42,010,031.55/7,206.56
  6. Step 6: Final answer
    x = 5,829.42

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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.