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Finding the Fourth Proportional to 9,205.48, 12,706.46 and 5,428.36

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Solution

The fourth proportional to 9,205.48, 12,706.46 and 5,428.36 is: 7,492.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.48 : 12,706.46 = 5,428.36 : x
  2. Step 2: Convert to fraction form
    9,205.48/12,706.46 = 5,428.36/x
  3. Step 3: Cross multiply
    9,205.48x = 12,706.46 × 5,428.36
  4. Step 4: Simplify right side
    9,205.48x = 68,975,239.21
  5. Step 5: Solve for x
    x = 68,975,239.21/9,205.48
  6. Step 6: Final answer
    x = 7,492.85

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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.