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Finding the Fourth Proportional to 9,381.52, 14,073.04 and 2,456

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Solution

The fourth proportional to 9,381.52, 14,073.04 and 2,456 is: 3,684.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.52 : 14,073.04 = 2,456 : x
  2. Step 2: Convert to fraction form
    9,381.52/14,073.04 = 2,456/x
  3. Step 3: Cross multiply
    9,381.52x = 14,073.04 × 2,456
  4. Step 4: Simplify right side
    9,381.52x = 34,563,386.24
  5. Step 5: Solve for x
    x = 34,563,386.24/9,381.52
  6. Step 6: Final answer
    x = 3,684.20

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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.