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Finding the Fourth Proportional to 37,674.12, 56,510.76 and 9,211.35

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Solution

The fourth proportional to 37,674.12, 56,510.76 and 9,211.35 is: 13,816.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,674.12 : 56,510.76 = 9,211.35 : x
  2. Step 2: Convert to fraction form
    37,674.12/56,510.76 = 9,211.35/x
  3. Step 3: Cross multiply
    37,674.12x = 56,510.76 × 9,211.35
  4. Step 4: Simplify right side
    37,674.12x = 520,540,389.13
  5. Step 5: Solve for x
    x = 520,540,389.13/37,674.12
  6. Step 6: Final answer
    x = 13,816.92

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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.