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Finding the Fourth Proportional to 37,145.76, 55,717.92 and 9,066

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Solution

The fourth proportional to 37,145.76, 55,717.92 and 9,066 is: 13,598.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,145.76 : 55,717.92 = 9,066 : x
  2. Step 2: Convert to fraction form
    37,145.76/55,717.92 = 9,066/x
  3. Step 3: Cross multiply
    37,145.76x = 55,717.92 × 9,066
  4. Step 4: Simplify right side
    37,145.76x = 505,138,662.72
  5. Step 5: Solve for x
    x = 505,138,662.72/37,145.76
  6. Step 6: Final answer
    x = 13,598.82

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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.