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Finding the Fourth Proportional to 9,508.10, 13,120.03 and 5,258.58

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Solution

The fourth proportional to 9,508.10, 13,120.03 and 5,258.58 is: 7,256.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.10 : 13,120.03 = 5,258.58 : x
  2. Step 2: Convert to fraction form
    9,508.10/13,120.03 = 5,258.58/x
  3. Step 3: Cross multiply
    9,508.10x = 13,120.03 × 5,258.58
  4. Step 4: Simplify right side
    9,508.10x = 68,992,727.36
  5. Step 5: Solve for x
    x = 68,992,727.36/9,508.10
  6. Step 6: Final answer
    x = 7,256.21

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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.