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Finding the Fourth Proportional to 37,996.64, 56,995 and 9,916.67

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Solution

The fourth proportional to 37,996.64, 56,995 and 9,916.67 is: 14,875.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,996.64 : 56,995 = 9,916.67 : x
  2. Step 2: Convert to fraction form
    37,996.64/56,995 = 9,916.67/x
  3. Step 3: Cross multiply
    37,996.64x = 56,995 × 9,916.67
  4. Step 4: Simplify right side
    37,996.64x = 565,200,606.65
  5. Step 5: Solve for x
    x = 565,200,606.65/37,996.64
  6. Step 6: Final answer
    x = 14,875.02

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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.