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Finding the Fourth Proportional to 6,706.10, 9,253.68 and 4,348.25

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Solution

The fourth proportional to 6,706.10, 9,253.68 and 4,348.25 is: 6,000.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.10 : 9,253.68 = 4,348.25 : x
  2. Step 2: Convert to fraction form
    6,706.10/9,253.68 = 4,348.25/x
  3. Step 3: Cross multiply
    6,706.10x = 9,253.68 × 4,348.25
  4. Step 4: Simplify right side
    6,706.10x = 40,237,267.79
  5. Step 5: Solve for x
    x = 40,237,267.79/6,706.10
  6. Step 6: Final answer
    x = 6,000.10

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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.