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Finding the Fourth Proportional to 9,101.10, 13,656.11 and 3,258.16

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Solution

The fourth proportional to 9,101.10, 13,656.11 and 3,258.16 is: 4,888.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.10 : 13,656.11 = 3,258.16 : x
  2. Step 2: Convert to fraction form
    9,101.10/13,656.11 = 3,258.16/x
  3. Step 3: Cross multiply
    9,101.10x = 13,656.11 × 3,258.16
  4. Step 4: Simplify right side
    9,101.10x = 44,493,791.36
  5. Step 5: Solve for x
    x = 44,493,791.36/9,101.10
  6. Step 6: Final answer
    x = 4,888.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.