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Finding the Fourth Proportional to 9,893.25, 14,834.43 and 4,343.76

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Solution

The fourth proportional to 9,893.25, 14,834.43 and 4,343.76 is: 6,513.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.25 : 14,834.43 = 4,343.76 : x
  2. Step 2: Convert to fraction form
    9,893.25/14,834.43 = 4,343.76/x
  3. Step 3: Cross multiply
    9,893.25x = 14,834.43 × 4,343.76
  4. Step 4: Simplify right side
    9,893.25x = 64,437,203.66
  5. Step 5: Solve for x
    x = 64,437,203.66/9,893.25
  6. Step 6: Final answer
    x = 6,513.25

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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.