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Finding the Fourth Proportional to 9,102, 12,558.60 and 5,122.32

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Solution

The fourth proportional to 9,102, 12,558.60 and 5,122.32 is: 7,067.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102 : 12,558.60 = 5,122.32 : x
  2. Step 2: Convert to fraction form
    9,102/12,558.60 = 5,122.32/x
  3. Step 3: Cross multiply
    9,102x = 12,558.60 × 5,122.32
  4. Step 4: Simplify right side
    9,102x = 64,329,167.95
  5. Step 5: Solve for x
    x = 64,329,167.95/9,102
  6. Step 6: Final answer
    x = 7,067.59

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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.