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Finding the Fourth Proportional to 9,523.98, 14,269.71 and 6,746.04

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Solution

The fourth proportional to 9,523.98, 14,269.71 and 6,746.04 is: 10,107.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.98 : 14,269.71 = 6,746.04 : x
  2. Step 2: Convert to fraction form
    9,523.98/14,269.71 = 6,746.04/x
  3. Step 3: Cross multiply
    9,523.98x = 14,269.71 × 6,746.04
  4. Step 4: Simplify right side
    9,523.98x = 96,264,034.45
  5. Step 5: Solve for x
    x = 96,264,034.45/9,523.98
  6. Step 6: Final answer
    x = 10,107.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.