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Finding the Fourth Proportional to 7,041.37, 9,716.95 and 3,854.59

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Solution

The fourth proportional to 7,041.37, 9,716.95 and 3,854.59 is: 5,319.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041.37 : 9,716.95 = 3,854.59 : x
  2. Step 2: Convert to fraction form
    7,041.37/9,716.95 = 3,854.59/x
  3. Step 3: Cross multiply
    7,041.37x = 9,716.95 × 3,854.59
  4. Step 4: Simplify right side
    7,041.37x = 37,454,790.44
  5. Step 5: Solve for x
    x = 37,454,790.44/7,041.37
  6. Step 6: Final answer
    x = 5,319.25

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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.