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Finding the Fourth Proportional to 37,343, 56,015.58 and 9,641

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Solution

The fourth proportional to 37,343, 56,015.58 and 9,641 is: 14,461.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,343 : 56,015.58 = 9,641 : x
  2. Step 2: Convert to fraction form
    37,343/56,015.58 = 9,641/x
  3. Step 3: Cross multiply
    37,343x = 56,015.58 × 9,641
  4. Step 4: Simplify right side
    37,343x = 540,046,206.78
  5. Step 5: Solve for x
    x = 540,046,206.78/37,343
  6. Step 6: Final answer
    x = 14,461.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.