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Finding the Fourth Proportional to 9,509.54, 13,122.02 and 5,260.03

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Solution

The fourth proportional to 9,509.54, 13,122.02 and 5,260.03 is: 7,258.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.54 : 13,122.02 = 5,260.03 : x
  2. Step 2: Convert to fraction form
    9,509.54/13,122.02 = 5,260.03/x
  3. Step 3: Cross multiply
    9,509.54x = 13,122.02 × 5,260.03
  4. Step 4: Simplify right side
    9,509.54x = 69,022,199.21
  5. Step 5: Solve for x
    x = 69,022,199.21/9,509.54
  6. Step 6: Final answer
    x = 7,258.21

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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.