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Finding the Fourth Proportional to 37,746.70, 56,619.85 and 9,666.70

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Solution

The fourth proportional to 37,746.70, 56,619.85 and 9,666.70 is: 14,500.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,746.70 : 56,619.85 = 9,666.70 : x
  2. Step 2: Convert to fraction form
    37,746.70/56,619.85 = 9,666.70/x
  3. Step 3: Cross multiply
    37,746.70x = 56,619.85 × 9,666.70
  4. Step 4: Simplify right side
    37,746.70x = 547,327,104.00
  5. Step 5: Solve for x
    x = 547,327,104.00/37,746.70
  6. Step 6: Final answer
    x = 14,500.00

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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.