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Finding the Fourth Proportional to 9,102.60, 13,653.60 and 2,862.48

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Solution

The fourth proportional to 9,102.60, 13,653.60 and 2,862.48 is: 4,293.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.60 : 13,653.60 = 2,862.48 : x
  2. Step 2: Convert to fraction form
    9,102.60/13,653.60 = 2,862.48/x
  3. Step 3: Cross multiply
    9,102.60x = 13,653.60 × 2,862.48
  4. Step 4: Simplify right side
    9,102.60x = 39,083,156.93
  5. Step 5: Solve for x
    x = 39,083,156.93/9,102.60
  6. Step 6: Final answer
    x = 4,293.63

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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.