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Finding the Fourth Proportional to 9,597.87, 13,243.59 and 5,405.31

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Solution

The fourth proportional to 9,597.87, 13,243.59 and 5,405.31 is: 7,458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.87 : 13,243.59 = 5,405.31 : x
  2. Step 2: Convert to fraction form
    9,597.87/13,243.59 = 5,405.31/x
  3. Step 3: Cross multiply
    9,597.87x = 13,243.59 × 5,405.31
  4. Step 4: Simplify right side
    9,597.87x = 71,585,709.46
  5. Step 5: Solve for x
    x = 71,585,709.46/9,597.87
  6. Step 6: Final answer
    x = 7,458.50

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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.