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Finding the Fourth Proportional to 9,684, 13,364.73 and 5,493.06

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Solution

The fourth proportional to 9,684, 13,364.73 and 5,493.06 is: 7,580.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684 : 13,364.73 = 5,493.06 : x
  2. Step 2: Convert to fraction form
    9,684/13,364.73 = 5,493.06/x
  3. Step 3: Cross multiply
    9,684x = 13,364.73 × 5,493.06
  4. Step 4: Simplify right side
    9,684x = 73,413,263.77
  5. Step 5: Solve for x
    x = 73,413,263.77/9,684
  6. Step 6: Final answer
    x = 7,580.88

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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.