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Finding the Fourth Proportional to 7,025.41, 9,690.78 and 4,506.67

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Solution

The fourth proportional to 7,025.41, 9,690.78 and 4,506.67 is: 6,216.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,025.41 : 9,690.78 = 4,506.67 : x
  2. Step 2: Convert to fraction form
    7,025.41/9,690.78 = 4,506.67/x
  3. Step 3: Cross multiply
    7,025.41x = 9,690.78 × 4,506.67
  4. Step 4: Simplify right side
    7,025.41x = 43,673,147.50
  5. Step 5: Solve for x
    x = 43,673,147.50/7,025.41
  6. Step 6: Final answer
    x = 6,216.46

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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.