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Finding the Fourth Proportional to 9,607.38, 13,258.20 and 5,415.63

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Solution

The fourth proportional to 9,607.38, 13,258.20 and 5,415.63 is: 7,473.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.38 : 13,258.20 = 5,415.63 : x
  2. Step 2: Convert to fraction form
    9,607.38/13,258.20 = 5,415.63/x
  3. Step 3: Cross multiply
    9,607.38x = 13,258.20 × 5,415.63
  4. Step 4: Simplify right side
    9,607.38x = 71,801,439.38
  5. Step 5: Solve for x
    x = 71,801,439.38/9,607.38
  6. Step 6: Final answer
    x = 7,473.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.