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Finding the Fourth Proportional to 6,965.60, 9,613.32 and 3,822.08

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Solution

The fourth proportional to 6,965.60, 9,613.32 and 3,822.08 is: 5,274.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.60 : 9,613.32 = 3,822.08 : x
  2. Step 2: Convert to fraction form
    6,965.60/9,613.32 = 3,822.08/x
  3. Step 3: Cross multiply
    6,965.60x = 9,613.32 × 3,822.08
  4. Step 4: Simplify right side
    6,965.60x = 36,742,878.11
  5. Step 5: Solve for x
    x = 36,742,878.11/6,965.60
  6. Step 6: Final answer
    x = 5,274.90

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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.