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Finding the Fourth Proportional to 9,629.87, 13,289.42 and 5,437.31

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Solution

The fourth proportional to 9,629.87, 13,289.42 and 5,437.31 is: 7,503.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,629.87 : 13,289.42 = 5,437.31 : x
  2. Step 2: Convert to fraction form
    9,629.87/13,289.42 = 5,437.31/x
  3. Step 3: Cross multiply
    9,629.87x = 13,289.42 × 5,437.31
  4. Step 4: Simplify right side
    9,629.87x = 72,258,669.07
  5. Step 5: Solve for x
    x = 72,258,669.07/9,629.87
  6. Step 6: Final answer
    x = 7,503.60

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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.