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Finding the Fourth Proportional to 6,119.65, 9,176.10 and 1,901.76

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Solution

The fourth proportional to 6,119.65, 9,176.10 and 1,901.76 is: 2,851.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,119.65 : 9,176.10 = 1,901.76 : x
  2. Step 2: Convert to fraction form
    6,119.65/9,176.10 = 1,901.76/x
  3. Step 3: Cross multiply
    6,119.65x = 9,176.10 × 1,901.76
  4. Step 4: Simplify right side
    6,119.65x = 17,450,698.39
  5. Step 5: Solve for x
    x = 17,450,698.39/6,119.65
  6. Step 6: Final answer
    x = 2,851.58

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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.