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Finding the Fourth Proportional to 6,854.12, 9,458.70 and 3,710.30

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Solution

The fourth proportional to 6,854.12, 9,458.70 and 3,710.30 is: 5,120.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.12 : 9,458.70 = 3,710.30 : x
  2. Step 2: Convert to fraction form
    6,854.12/9,458.70 = 3,710.30/x
  3. Step 3: Cross multiply
    6,854.12x = 9,458.70 × 3,710.30
  4. Step 4: Simplify right side
    6,854.12x = 35,094,567.32
  5. Step 5: Solve for x
    x = 35,094,567.32/6,854.12
  6. Step 6: Final answer
    x = 5,120.22

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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.