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Finding the Fourth Proportional to 9,333.68, 14,001.06 and 2,408

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Solution

The fourth proportional to 9,333.68, 14,001.06 and 2,408 is: 3,612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,333.68 : 14,001.06 = 2,408 : x
  2. Step 2: Convert to fraction form
    9,333.68/14,001.06 = 2,408/x
  3. Step 3: Cross multiply
    9,333.68x = 14,001.06 × 2,408
  4. Step 4: Simplify right side
    9,333.68x = 33,714,552.48
  5. Step 5: Solve for x
    x = 33,714,552.48/9,333.68
  6. Step 6: Final answer
    x = 3,612.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.