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Finding the Fourth Proportional to 6,264.34, 9,389.19 and 3,142.66

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Solution

The fourth proportional to 6,264.34, 9,389.19 and 3,142.66 is: 4,710.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.34 : 9,389.19 = 3,142.66 : x
  2. Step 2: Convert to fraction form
    6,264.34/9,389.19 = 3,142.66/x
  3. Step 3: Cross multiply
    6,264.34x = 9,389.19 × 3,142.66
  4. Step 4: Simplify right side
    6,264.34x = 29,507,031.85
  5. Step 5: Solve for x
    x = 29,507,031.85/6,264.34
  6. Step 6: Final answer
    x = 4,710.32

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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.