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Finding the Fourth Proportional to 7,220.28, 9,953.10 and 5,645.64

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Solution

The fourth proportional to 7,220.28, 9,953.10 and 5,645.64 is: 7,782.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,220.28 : 9,953.10 = 5,645.64 : x
  2. Step 2: Convert to fraction form
    7,220.28/9,953.10 = 5,645.64/x
  3. Step 3: Cross multiply
    7,220.28x = 9,953.10 × 5,645.64
  4. Step 4: Simplify right side
    7,220.28x = 56,191,619.48
  5. Step 5: Solve for x
    x = 56,191,619.48/7,220.28
  6. Step 6: Final answer
    x = 7,782.47

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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.