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Finding the Fourth Proportional to 27,172.25, 40,762.47 and 9,637.97

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Solution

The fourth proportional to 27,172.25, 40,762.47 and 9,637.97 is: 14,458.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,172.25 : 40,762.47 = 9,637.97 : x
  2. Step 2: Convert to fraction form
    27,172.25/40,762.47 = 9,637.97/x
  3. Step 3: Cross multiply
    27,172.25x = 40,762.47 × 9,637.97
  4. Step 4: Simplify right side
    27,172.25x = 392,867,259.17
  5. Step 5: Solve for x
    x = 392,867,259.17/27,172.25
  6. Step 6: Final answer
    x = 14,458.40

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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.