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Finding the Fourth Proportional to 6,518.16, 9,783.75 and 3,597.84

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Solution

The fourth proportional to 6,518.16, 9,783.75 and 3,597.84 is: 5,400.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,518.16 : 9,783.75 = 3,597.84 : x
  2. Step 2: Convert to fraction form
    6,518.16/9,783.75 = 3,597.84/x
  3. Step 3: Cross multiply
    6,518.16x = 9,783.75 × 3,597.84
  4. Step 4: Simplify right side
    6,518.16x = 35,200,367.10
  5. Step 5: Solve for x
    x = 35,200,367.10/6,518.16
  6. Step 6: Final answer
    x = 5,400.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.