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Finding the Fourth Proportional to 7,135.98, 9,847.80 and 4,152.30

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Solution

The fourth proportional to 7,135.98, 9,847.80 and 4,152.30 is: 5,730.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135.98 : 9,847.80 = 4,152.30 : x
  2. Step 2: Convert to fraction form
    7,135.98/9,847.80 = 4,152.30/x
  3. Step 3: Cross multiply
    7,135.98x = 9,847.80 × 4,152.30
  4. Step 4: Simplify right side
    7,135.98x = 40,891,019.94
  5. Step 5: Solve for x
    x = 40,891,019.94/7,135.98
  6. Step 6: Final answer
    x = 5,730.26

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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.