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Finding the Fourth Proportional to 37,143.12, 55,714.56 and 9,441.12

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Solution

The fourth proportional to 37,143.12, 55,714.56 and 9,441.12 is: 14,161.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,143.12 : 55,714.56 = 9,441.12 : x
  2. Step 2: Convert to fraction form
    37,143.12/55,714.56 = 9,441.12/x
  3. Step 3: Cross multiply
    37,143.12x = 55,714.56 × 9,441.12
  4. Step 4: Simplify right side
    37,143.12x = 526,007,846.71
  5. Step 5: Solve for x
    x = 526,007,846.71/37,143.12
  6. Step 6: Final answer
    x = 14,161.65

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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.