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Finding the Fourth Proportional to 9,597.28, 13,241.93 and 5,405.53

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Solution

The fourth proportional to 9,597.28, 13,241.93 and 5,405.53 is: 7,458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.28 : 13,241.93 = 5,405.53 : x
  2. Step 2: Convert to fraction form
    9,597.28/13,241.93 = 5,405.53/x
  3. Step 3: Cross multiply
    9,597.28x = 13,241.93 × 5,405.53
  4. Step 4: Simplify right side
    9,597.28x = 71,579,589.74
  5. Step 5: Solve for x
    x = 71,579,589.74/9,597.28
  6. Step 6: Final answer
    x = 7,458.32

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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.