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Finding the Fourth Proportional to 9,380.32, 14,037.50 and 7,412

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Solution

The fourth proportional to 9,380.32, 14,037.50 and 7,412 is: 11,091.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.32 : 14,037.50 = 7,412 : x
  2. Step 2: Convert to fraction form
    9,380.32/14,037.50 = 7,412/x
  3. Step 3: Cross multiply
    9,380.32x = 14,037.50 × 7,412
  4. Step 4: Simplify right side
    9,380.32x = 104,045,950
  5. Step 5: Solve for x
    x = 104,045,950/9,380.32
  6. Step 6: Final answer
    x = 11,091.94

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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.