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Finding the Fourth Proportional to 7,035.80, 9,709.35 and 4,204.40

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Solution

The fourth proportional to 7,035.80, 9,709.35 and 4,204.40 is: 5,802.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,035.80 : 9,709.35 = 4,204.40 : x
  2. Step 2: Convert to fraction form
    7,035.80/9,709.35 = 4,204.40/x
  3. Step 3: Cross multiply
    7,035.80x = 9,709.35 × 4,204.40
  4. Step 4: Simplify right side
    7,035.80x = 40,821,991.14
  5. Step 5: Solve for x
    x = 40,821,991.14/7,035.80
  6. Step 6: Final answer
    x = 5,802.04

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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.