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Finding the Fourth Proportional to 9,537.76, 14,303.91 and 2,874.91

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Solution

The fourth proportional to 9,537.76, 14,303.91 and 2,874.91 is: 4,311.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.76 : 14,303.91 = 2,874.91 : x
  2. Step 2: Convert to fraction form
    9,537.76/14,303.91 = 2,874.91/x
  3. Step 3: Cross multiply
    9,537.76x = 14,303.91 × 2,874.91
  4. Step 4: Simplify right side
    9,537.76x = 41,122,368.00
  5. Step 5: Solve for x
    x = 41,122,368.00/9,537.76
  6. Step 6: Final answer
    x = 4,311.53

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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.