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Finding the Fourth Proportional to 7,224.34, 9,969.59 and 4,080.53

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Solution

The fourth proportional to 7,224.34, 9,969.59 and 4,080.53 is: 5,631.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.34 : 9,969.59 = 4,080.53 : x
  2. Step 2: Convert to fraction form
    7,224.34/9,969.59 = 4,080.53/x
  3. Step 3: Cross multiply
    7,224.34x = 9,969.59 × 4,080.53
  4. Step 4: Simplify right side
    7,224.34x = 40,681,211.08
  5. Step 5: Solve for x
    x = 40,681,211.08/7,224.34
  6. Step 6: Final answer
    x = 5,631.13

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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.