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Finding the Fourth Proportional to 37,342.69, 56,014.13 and 9,640.69

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Solution

The fourth proportional to 37,342.69, 56,014.13 and 9,640.69 is: 14,461.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,342.69 : 56,014.13 = 9,640.69 : x
  2. Step 2: Convert to fraction form
    37,342.69/56,014.13 = 9,640.69/x
  3. Step 3: Cross multiply
    37,342.69x = 56,014.13 × 9,640.69
  4. Step 4: Simplify right side
    37,342.69x = 540,014,747.02
  5. Step 5: Solve for x
    x = 540,014,747.02/37,342.69
  6. Step 6: Final answer
    x = 14,461.06

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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.