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Finding the Fourth Proportional to 9,750.57, 13,455.36 and 6,214.92

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Solution

The fourth proportional to 9,750.57, 13,455.36 and 6,214.92 is: 8,576.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.57 : 13,455.36 = 6,214.92 : x
  2. Step 2: Convert to fraction form
    9,750.57/13,455.36 = 6,214.92/x
  3. Step 3: Cross multiply
    9,750.57x = 13,455.36 × 6,214.92
  4. Step 4: Simplify right side
    9,750.57x = 83,623,985.97
  5. Step 5: Solve for x
    x = 83,623,985.97/9,750.57
  6. Step 6: Final answer
    x = 8,576.32

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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.