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Finding the Fourth Proportional to 7,020.32, 9,690.14 and 4,189.67

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Solution

The fourth proportional to 7,020.32, 9,690.14 and 4,189.67 is: 5,783.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,020.32 : 9,690.14 = 4,189.67 : x
  2. Step 2: Convert to fraction form
    7,020.32/9,690.14 = 4,189.67/x
  3. Step 3: Cross multiply
    7,020.32x = 9,690.14 × 4,189.67
  4. Step 4: Simplify right side
    7,020.32x = 40,598,488.85
  5. Step 5: Solve for x
    x = 40,598,488.85/7,020.32
  6. Step 6: Final answer
    x = 5,783.00

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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.