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Finding the Fourth Proportional to 9,509.60, 13,122.10 and 5,260.08

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Solution

The fourth proportional to 9,509.60, 13,122.10 and 5,260.08 is: 7,258.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.60 : 13,122.10 = 5,260.08 : x
  2. Step 2: Convert to fraction form
    9,509.60/13,122.10 = 5,260.08/x
  3. Step 3: Cross multiply
    9,509.60x = 13,122.10 × 5,260.08
  4. Step 4: Simplify right side
    9,509.60x = 69,023,295.77
  5. Step 5: Solve for x
    x = 69,023,295.77/9,509.60
  6. Step 6: Final answer
    x = 7,258.28

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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.