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Finding the Fourth Proportional to 6,854.06, 9,458.22 and 3,870.50

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Solution

The fourth proportional to 6,854.06, 9,458.22 and 3,870.50 is: 5,341.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.06 : 9,458.22 = 3,870.50 : x
  2. Step 2: Convert to fraction form
    6,854.06/9,458.22 = 3,870.50/x
  3. Step 3: Cross multiply
    6,854.06x = 9,458.22 × 3,870.50
  4. Step 4: Simplify right side
    6,854.06x = 36,608,040.51
  5. Step 5: Solve for x
    x = 36,608,040.51/6,854.06
  6. Step 6: Final answer
    x = 5,341.07

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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.