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Finding the Fourth Proportional to 6,870.54, 9,471.01 and 5,375.86

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Solution

The fourth proportional to 6,870.54, 9,471.01 and 5,375.86 is: 7,410.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.54 : 9,471.01 = 5,375.86 : x
  2. Step 2: Convert to fraction form
    6,870.54/9,471.01 = 5,375.86/x
  3. Step 3: Cross multiply
    6,870.54x = 9,471.01 × 5,375.86
  4. Step 4: Simplify right side
    6,870.54x = 50,914,823.82
  5. Step 5: Solve for x
    x = 50,914,823.82/6,870.54
  6. Step 6: Final answer
    x = 7,410.60

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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.