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Finding the Fourth Proportional to 9,205.02, 12,702.63 and 5,428.41

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Solution

The fourth proportional to 9,205.02, 12,702.63 and 5,428.41 is: 7,491.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.02 : 12,702.63 = 5,428.41 : x
  2. Step 2: Convert to fraction form
    9,205.02/12,702.63 = 5,428.41/x
  3. Step 3: Cross multiply
    9,205.02x = 12,702.63 × 5,428.41
  4. Step 4: Simplify right side
    9,205.02x = 68,955,083.72
  5. Step 5: Solve for x
    x = 68,955,083.72/9,205.02
  6. Step 6: Final answer
    x = 7,491.03

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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.