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Finding the Fourth Proportional to 7,140.33, 9,854.72 and 4,309.34

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Solution

The fourth proportional to 7,140.33, 9,854.72 and 4,309.34 is: 5,947.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.33 : 9,854.72 = 4,309.34 : x
  2. Step 2: Convert to fraction form
    7,140.33/9,854.72 = 4,309.34/x
  3. Step 3: Cross multiply
    7,140.33x = 9,854.72 × 4,309.34
  4. Step 4: Simplify right side
    7,140.33x = 42,467,268.26
  5. Step 5: Solve for x
    x = 42,467,268.26/7,140.33
  6. Step 6: Final answer
    x = 5,947.52

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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.