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Finding the Fourth Proportional to 9,509.97, 13,122.75 and 5,260.36

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Solution

The fourth proportional to 9,509.97, 13,122.75 and 5,260.36 is: 7,258.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.97 : 13,122.75 = 5,260.36 : x
  2. Step 2: Convert to fraction form
    9,509.97/13,122.75 = 5,260.36/x
  3. Step 3: Cross multiply
    9,509.97x = 13,122.75 × 5,260.36
  4. Step 4: Simplify right side
    9,509.97x = 69,030,389.19
  5. Step 5: Solve for x
    x = 69,030,389.19/9,509.97
  6. Step 6: Final answer
    x = 7,258.74

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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.