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Finding the Fourth Proportional to 7,029.36, 9,697.20 and 4,641.84

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Solution

The fourth proportional to 7,029.36, 9,697.20 and 4,641.84 is: 6,403.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.36 : 9,697.20 = 4,641.84 : x
  2. Step 2: Convert to fraction form
    7,029.36/9,697.20 = 4,641.84/x
  3. Step 3: Cross multiply
    7,029.36x = 9,697.20 × 4,641.84
  4. Step 4: Simplify right side
    7,029.36x = 45,012,850.85
  5. Step 5: Solve for x
    x = 45,012,850.85/7,029.36
  6. Step 6: Final answer
    x = 6,403.55

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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.