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Finding the Fourth Proportional to 37,640.34, 56,460.54 and 9,562.50

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Solution

The fourth proportional to 37,640.34, 56,460.54 and 9,562.50 is: 14,343.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,640.34 : 56,460.54 = 9,562.50 : x
  2. Step 2: Convert to fraction form
    37,640.34/56,460.54 = 9,562.50/x
  3. Step 3: Cross multiply
    37,640.34x = 56,460.54 × 9,562.50
  4. Step 4: Simplify right side
    37,640.34x = 539,903,913.75
  5. Step 5: Solve for x
    x = 539,903,913.75/37,640.34
  6. Step 6: Final answer
    x = 14,343.76

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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.