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Finding the Fourth Proportional to 7,014.73, 9,680.32 and 4,030.50

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Solution

The fourth proportional to 7,014.73, 9,680.32 and 4,030.50 is: 5,562.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014.73 : 9,680.32 = 4,030.50 : x
  2. Step 2: Convert to fraction form
    7,014.73/9,680.32 = 4,030.50/x
  3. Step 3: Cross multiply
    7,014.73x = 9,680.32 × 4,030.50
  4. Step 4: Simplify right side
    7,014.73x = 39,016,508.70
  5. Step 5: Solve for x
    x = 39,016,508.70/7,014.73
  6. Step 6: Final answer
    x = 5,562.09

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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.