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Finding the Fourth Proportional to 6,031.34, 9,048.23 and 2,138.48

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Solution

The fourth proportional to 6,031.34, 9,048.23 and 2,138.48 is: 3,208.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,031.34 : 9,048.23 = 2,138.48 : x
  2. Step 2: Convert to fraction form
    6,031.34/9,048.23 = 2,138.48/x
  3. Step 3: Cross multiply
    6,031.34x = 9,048.23 × 2,138.48
  4. Step 4: Simplify right side
    6,031.34x = 19,349,402.96
  5. Step 5: Solve for x
    x = 19,349,402.96/6,031.34
  6. Step 6: Final answer
    x = 3,208.15

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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.