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Finding the Fourth Proportional to 9,537, 14,311.26 and 4,065

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Solution

The fourth proportional to 9,537, 14,311.26 and 4,065 is: 6,099.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537 : 14,311.26 = 4,065 : x
  2. Step 2: Convert to fraction form
    9,537/14,311.26 = 4,065/x
  3. Step 3: Cross multiply
    9,537x = 14,311.26 × 4,065
  4. Step 4: Simplify right side
    9,537x = 58,175,271.90
  5. Step 5: Solve for x
    x = 58,175,271.90/9,537
  6. Step 6: Final answer
    x = 6,099.96

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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.