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Finding the Fourth Proportional to 6,854.02, 9,458.55 and 3,710.20

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Solution

The fourth proportional to 6,854.02, 9,458.55 and 3,710.20 is: 5,120.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.02 : 9,458.55 = 3,710.20 : x
  2. Step 2: Convert to fraction form
    6,854.02/9,458.55 = 3,710.20/x
  3. Step 3: Cross multiply
    6,854.02x = 9,458.55 × 3,710.20
  4. Step 4: Simplify right side
    6,854.02x = 35,093,112.21
  5. Step 5: Solve for x
    x = 35,093,112.21/6,854.02
  6. Step 6: Final answer
    x = 5,120.08

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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.