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Finding the Fourth Proportional to 9,203.75, 12,701.31 and 5,012

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Solution

The fourth proportional to 9,203.75, 12,701.31 and 5,012 is: 6,916.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.75 : 12,701.31 = 5,012 : x
  2. Step 2: Convert to fraction form
    9,203.75/12,701.31 = 5,012/x
  3. Step 3: Cross multiply
    9,203.75x = 12,701.31 × 5,012
  4. Step 4: Simplify right side
    9,203.75x = 63,658,965.72
  5. Step 5: Solve for x
    x = 63,658,965.72/9,203.75
  6. Step 6: Final answer
    x = 6,916.63

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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.