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Finding the Fourth Proportional to 6,031.44, 9,061.76 and 3,844.40

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Solution

The fourth proportional to 6,031.44, 9,061.76 and 3,844.40 is: 5,775.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,031.44 : 9,061.76 = 3,844.40 : x
  2. Step 2: Convert to fraction form
    6,031.44/9,061.76 = 3,844.40/x
  3. Step 3: Cross multiply
    6,031.44x = 9,061.76 × 3,844.40
  4. Step 4: Simplify right side
    6,031.44x = 34,837,030.14
  5. Step 5: Solve for x
    x = 34,837,030.14/6,031.44
  6. Step 6: Final answer
    x = 5,775.91

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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.