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Finding the Fourth Proportional to 37,460.16, 56,190.24 and 9,756

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Solution

The fourth proportional to 37,460.16, 56,190.24 and 9,756 is: 14,634.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,460.16 : 56,190.24 = 9,756 : x
  2. Step 2: Convert to fraction form
    37,460.16/56,190.24 = 9,756/x
  3. Step 3: Cross multiply
    37,460.16x = 56,190.24 × 9,756
  4. Step 4: Simplify right side
    37,460.16x = 548,191,981.44
  5. Step 5: Solve for x
    x = 548,191,981.44/37,460.16
  6. Step 6: Final answer
    x = 14,634.00

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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.