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Finding the Fourth Proportional to 7,133, 9,843.54 and 4,338.50

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Solution

The fourth proportional to 7,133, 9,843.54 and 4,338.50 is: 5,987.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133 : 9,843.54 = 4,338.50 : x
  2. Step 2: Convert to fraction form
    7,133/9,843.54 = 4,338.50/x
  3. Step 3: Cross multiply
    7,133x = 9,843.54 × 4,338.50
  4. Step 4: Simplify right side
    7,133x = 42,706,198.29
  5. Step 5: Solve for x
    x = 42,706,198.29/7,133
  6. Step 6: Final answer
    x = 5,987.13

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