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Finding the Fourth Proportional to 9,333.49, 14,001.60 and 3,410.67

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Solution

The fourth proportional to 9,333.49, 14,001.60 and 3,410.67 is: 5,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,333.49 : 14,001.60 = 3,410.67 : x
  2. Step 2: Convert to fraction form
    9,333.49/14,001.60 = 3,410.67/x
  3. Step 3: Cross multiply
    9,333.49x = 14,001.60 × 3,410.67
  4. Step 4: Simplify right side
    9,333.49x = 47,754,837.07
  5. Step 5: Solve for x
    x = 47,754,837.07/9,333.49
  6. Step 6: Final answer
    x = 5,116.50

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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.