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Finding the Fourth Proportional to 6,969.65, 9,613.08 and 4,416.53

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Solution

The fourth proportional to 6,969.65, 9,613.08 and 4,416.53 is: 6,091.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.65 : 9,613.08 = 4,416.53 : x
  2. Step 2: Convert to fraction form
    6,969.65/9,613.08 = 4,416.53/x
  3. Step 3: Cross multiply
    6,969.65x = 9,613.08 × 4,416.53
  4. Step 4: Simplify right side
    6,969.65x = 42,456,408.15
  5. Step 5: Solve for x
    x = 42,456,408.15/6,969.65
  6. Step 6: Final answer
    x = 6,091.62

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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.