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Finding the Fourth Proportional to 9,749, 13,453.62 and 5,333

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Solution

The fourth proportional to 9,749, 13,453.62 and 5,333 is: 7,359.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749 : 13,453.62 = 5,333 : x
  2. Step 2: Convert to fraction form
    9,749/13,453.62 = 5,333/x
  3. Step 3: Cross multiply
    9,749x = 13,453.62 × 5,333
  4. Step 4: Simplify right side
    9,749x = 71,748,155.46
  5. Step 5: Solve for x
    x = 71,748,155.46/9,749
  6. Step 6: Final answer
    x = 7,359.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.