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Finding the Fourth Proportional to 9,133.54, 13,703.06 and 3,865.84

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Solution

The fourth proportional to 9,133.54, 13,703.06 and 3,865.84 is: 5,799.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133.54 : 13,703.06 = 3,865.84 : x
  2. Step 2: Convert to fraction form
    9,133.54/13,703.06 = 3,865.84/x
  3. Step 3: Cross multiply
    9,133.54x = 13,703.06 × 3,865.84
  4. Step 4: Simplify right side
    9,133.54x = 52,973,837.47
  5. Step 5: Solve for x
    x = 52,973,837.47/9,133.54
  6. Step 6: Final answer
    x = 5,799.92

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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.