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Finding the Fourth Proportional to 9,220.80, 13,820.24 and 5,317.16

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Solution

The fourth proportional to 9,220.80, 13,820.24 and 5,317.16 is: 7,969.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,220.80 : 13,820.24 = 5,317.16 : x
  2. Step 2: Convert to fraction form
    9,220.80/13,820.24 = 5,317.16/x
  3. Step 3: Cross multiply
    9,220.80x = 13,820.24 × 5,317.16
  4. Step 4: Simplify right side
    9,220.80x = 73,484,427.32
  5. Step 5: Solve for x
    x = 73,484,427.32/9,220.80
  6. Step 6: Final answer
    x = 7,969.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.