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Finding the Fourth Proportional to 37,754.30, 56,630.54 and 9,673.83

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Solution

The fourth proportional to 37,754.30, 56,630.54 and 9,673.83 is: 14,510.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,754.30 : 56,630.54 = 9,673.83 : x
  2. Step 2: Convert to fraction form
    37,754.30/56,630.54 = 9,673.83/x
  3. Step 3: Cross multiply
    37,754.30x = 56,630.54 × 9,673.83
  4. Step 4: Simplify right side
    37,754.30x = 547,834,240.95
  5. Step 5: Solve for x
    x = 547,834,240.95/37,754.30
  6. Step 6: Final answer
    x = 14,510.51

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