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Finding the Fourth Proportional to 9,480.12, 14,218.56 and 2,553

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Solution

The fourth proportional to 9,480.12, 14,218.56 and 2,553 is: 3,829.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.12 : 14,218.56 = 2,553 : x
  2. Step 2: Convert to fraction form
    9,480.12/14,218.56 = 2,553/x
  3. Step 3: Cross multiply
    9,480.12x = 14,218.56 × 2,553
  4. Step 4: Simplify right side
    9,480.12x = 36,299,983.68
  5. Step 5: Solve for x
    x = 36,299,983.68/9,480.12
  6. Step 6: Final answer
    x = 3,829.06

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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.