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Finding the Fourth Proportional to 9,205.27, 12,703.27 and 5,013.52

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Solution

The fourth proportional to 9,205.27, 12,703.27 and 5,013.52 is: 6,918.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.27 : 12,703.27 = 5,013.52 : x
  2. Step 2: Convert to fraction form
    9,205.27/12,703.27 = 5,013.52/x
  3. Step 3: Cross multiply
    9,205.27x = 12,703.27 × 5,013.52
  4. Step 4: Simplify right side
    9,205.27x = 63,688,098.21
  5. Step 5: Solve for x
    x = 63,688,098.21/9,205.27
  6. Step 6: Final answer
    x = 6,918.66

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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.