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Finding the Fourth Proportional to 7,014.09, 9,678.87 and 3,870.27

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Solution

The fourth proportional to 7,014.09, 9,678.87 and 3,870.27 is: 5,340.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014.09 : 9,678.87 = 3,870.27 : x
  2. Step 2: Convert to fraction form
    7,014.09/9,678.87 = 3,870.27/x
  3. Step 3: Cross multiply
    7,014.09x = 9,678.87 × 3,870.27
  4. Step 4: Simplify right side
    7,014.09x = 37,459,840.19
  5. Step 5: Solve for x
    x = 37,459,840.19/7,014.09
  6. Step 6: Final answer
    x = 5,340.66

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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.