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Finding the Fourth Proportional to 4,637.37, 6,956.99 and 4,172.63

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Solution

The fourth proportional to 4,637.37, 6,956.99 and 4,172.63 is: 6,259.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,637.37 : 6,956.99 = 4,172.63 : x
  2. Step 2: Convert to fraction form
    4,637.37/6,956.99 = 4,172.63/x
  3. Step 3: Cross multiply
    4,637.37x = 6,956.99 × 4,172.63
  4. Step 4: Simplify right side
    4,637.37x = 29,028,889.54
  5. Step 5: Solve for x
    x = 29,028,889.54/4,637.37
  6. Step 6: Final answer
    x = 6,259.77

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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.